Atkin-Lehner |
2- 3+ 7+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
25116a |
Isogeny class |
Conductor |
25116 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-103377456 = -1 · 24 · 32 · 74 · 13 · 23 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ -4 13+ 8 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,51,-486] |
[a1,a2,a3,a4,a6] |
Generators |
[54:396:1] |
Generators of the group modulo torsion |
j |
899022848/6461091 |
j-invariant |
L |
3.3072104367265 |
L(r)(E,1)/r! |
Ω |
0.93911718964929 |
Real period |
R |
3.5216163362547 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100464ca1 75348a1 |
Quadratic twists by: -4 -3 |