Atkin-Lehner |
2+ 3+ 5- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
83490m |
Isogeny class |
Conductor |
83490 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
157893120 |
Modular degree for the optimal curve |
Δ |
-2.0401906711482E+29 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 11- -2 6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-5934839462,-177318516005484] |
[a1,a2,a3,a4,a6] |
Generators |
[119724766635844840456771399578016028490490975424506229311203079982350839016926263208592902103329484002949749321884102542300:105389547188355552280328382010531458333046697253553863570819128779000253870266001941853196630903860774195224733786247368547858:152786435505263623080781455600882489618858808835217595333247106042920200400063255519299586231116469144937076347535177] |
Generators of the group modulo torsion |
j |
-891299756509130809578001/7865818224179281920 |
j-invariant |
L |
3.1573976187531 |
L(r)(E,1)/r! |
Ω |
0.0085958460198598 |
Real period |
R |
183.65833982241 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83490bu1 |
Quadratic twists by: -11 |