Atkin-Lehner |
2+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
40328a |
Isogeny class |
Conductor |
40328 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
403200 |
Modular degree for the optimal curve |
Δ |
18626806084384768 = 211 · 717 |
Discriminant |
Eigenvalues |
2+ -1 2 -5 -2 1 2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-364632,84615052] |
[a1,a2,a3,a4,a6] |
Generators |
[-47:10082:1] [333:88:1] |
Generators of the group modulo torsion |
j |
20436626/71 |
j-invariant |
L |
7.4269235758405 |
L(r)(E,1)/r! |
Ω |
0.38868510102076 |
Real period |
R |
4.7769541180876 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999984 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80656a1 568a1 |
Quadratic twists by: -4 -71 |