Atkin-Lehner |
5- 7+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
25025q |
Isogeny class |
Conductor |
25025 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
952320 |
Modular degree for the optimal curve |
Δ |
-3537369716740234375 = -1 · 59 · 78 · 11 · 134 |
Discriminant |
Eigenvalues |
-1 -2 5- 7+ 11- 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-16907013,26756423392] |
[a1,a2,a3,a4,a6] |
j |
-273649295550276277757/1811133294971 |
j-invariant |
L |
0.89267165633703 |
L(r)(E,1)/r! |
Ω |
0.2231679140843 |
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 |
25025v1 |
Quadratic twists by: 5 |