Atkin-Lehner |
2+ 5+ 31+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
63550c |
Isogeny class |
Conductor |
63550 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
638976 |
Modular degree for the optimal curve |
Δ |
3940100000000 = 28 · 58 · 312 · 41 |
Discriminant |
Eigenvalues |
2+ 0 5+ 4 0 -6 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-513167,141621741] |
[a1,a2,a3,a4,a6] |
j |
956489758026943041/252166400 |
j-invariant |
L |
2.5046699795668 |
L(r)(E,1)/r! |
Ω |
0.62616749455476 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12710m1 |
Quadratic twists by: 5 |