Atkin-Lehner |
2- 3- 11+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
99264bv |
Isogeny class |
Conductor |
99264 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-3556808589312 = -1 · 220 · 38 · 11 · 47 |
Discriminant |
Eigenvalues |
2- 3- 0 3 11+ -1 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,3807,-6561] |
[a1,a2,a3,a4,a6] |
Generators |
[135:1728:1] |
Generators of the group modulo torsion |
j |
23271176375/13568148 |
j-invariant |
L |
9.7494206971522 |
L(r)(E,1)/r! |
Ω |
0.46646150909746 |
Real period |
R |
0.65315013327704 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999983716 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99264l1 24816m1 |
Quadratic twists by: -4 8 |