Atkin-Lehner |
2+ 3- 7- 19+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
74214j |
Isogeny class |
Conductor |
74214 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
417792 |
Modular degree for the optimal curve |
Δ |
220902385842432 = 28 · 39 · 74 · 19 · 312 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 0 -6 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-94788,-11186096] |
[a1,a2,a3,a4,a6] |
Generators |
[600:11852:1] [-177:239:1] |
Generators of the group modulo torsion |
j |
129198907308889153/303021105408 |
j-invariant |
L |
6.9203829329447 |
L(r)(E,1)/r! |
Ω |
0.27212735854812 |
Real period |
R |
3.1788346134049 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000126 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24738j1 |
Quadratic twists by: -3 |