Atkin-Lehner |
3- 5+ 23- 37- |
Signs for the Atkin-Lehner involutions |
Class |
63825o |
Isogeny class |
Conductor |
63825 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
1856047953515625 = 38 · 58 · 232 · 372 |
Discriminant |
Eigenvalues |
-1 3- 5+ -4 4 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-78338,-8187333] |
[a1,a2,a3,a4,a6] |
j |
3402682844867929/118787069025 |
j-invariant |
L |
2.2878463770784 |
L(r)(E,1)/r! |
Ω |
0.28598079665363 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
12765a2 |
Quadratic twists by: 5 |