Atkin-Lehner |
2- 3- 5+ 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
114840s |
Isogeny class |
Conductor |
114840 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5790720 |
Modular degree for the optimal curve |
Δ |
-8.54712131625E+21 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11+ 1 -7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1966683,4572957382] |
[a1,a2,a3,a4,a6] |
Generators |
[1322:65448:1] |
Generators of the group modulo torsion |
j |
-1126936170713293924/11449654541015625 |
j-invariant |
L |
4.8463319408451 |
L(r)(E,1)/r! |
Ω |
0.11134346422032 |
Real period |
R |
5.4407458969329 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999422019 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38280m1 |
Quadratic twists by: -3 |