Atkin-Lehner |
3+ 5+ 23- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
63825a |
Isogeny class |
Conductor |
63825 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
476928 |
Modular degree for the optimal curve |
Δ |
-19625564208984375 = -1 · 3 · 512 · 232 · 373 |
Discriminant |
Eigenvalues |
-1 3+ 5+ -4 4 0 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,55187,4553906] |
[a1,a2,a3,a4,a6] |
j |
1189634506489079/1256036109375 |
j-invariant |
L |
0.51016509115559 |
L(r)(E,1)/r! |
Ω |
0.25508254497651 |
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 |
12765f1 |
Quadratic twists by: 5 |