Atkin-Lehner |
2- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
25168bj |
Isogeny class |
Conductor |
25168 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
1088868352 = 212 · 112 · 133 |
Discriminant |
Eigenvalues |
2- 1 -2 -2 11- 13- -7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-304,-1388] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:26:1] [-6:16:1] |
Generators of the group modulo torsion |
j |
6289657/2197 |
j-invariant |
L |
7.8334434096207 |
L(r)(E,1)/r! |
Ω |
1.1757832610457 |
Real period |
R |
0.55519326769567 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999984 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1573c1 100672cz1 25168u1 |
Quadratic twists by: -4 8 -11 |