Atkin-Lehner |
2- 5+ 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
25850m |
Isogeny class |
Conductor |
25850 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
50688 |
Modular degree for the optimal curve |
Δ |
-2443632812500 = -1 · 22 · 510 · 113 · 47 |
Discriminant |
Eigenvalues |
2- 2 5+ 1 11- 5 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,537,75281] |
[a1,a2,a3,a4,a6] |
j |
1095912791/156392500 |
j-invariant |
L |
7.5297073360785 |
L(r)(E,1)/r! |
Ω |
0.62747561133987 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5170b1 |
Quadratic twists by: 5 |