Atkin-Lehner |
2- 3- 5+ 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
122010df |
Isogeny class |
Conductor |
122010 |
Conductor |
∏ cp |
312 |
Product of Tamagawa factors cp |
deg |
37739520 |
Modular degree for the optimal curve |
Δ |
-5.2844128362635E+24 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -5 4 4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-83604046,314324974340] |
[a1,a2,a3,a4,a6] |
Generators |
[2108:382946:1] |
Generators of the group modulo torsion |
j |
-549309814955296677994321/44916767981568000000 |
j-invariant |
L |
12.326348690401 |
L(r)(E,1)/r! |
Ω |
0.074896535313653 |
Real period |
R |
0.52749473117364 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000023473 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17430x1 |
Quadratic twists by: -7 |