Atkin-Lehner |
2- 3+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
121968cr |
Isogeny class |
Conductor |
121968 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
1658880 |
Modular degree for the optimal curve |
Δ |
4926926580051345408 = 218 · 39 · 72 · 117 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 11- 4 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-447579,-43340022] |
[a1,a2,a3,a4,a6] |
Generators |
[-374:8470:1] |
Generators of the group modulo torsion |
j |
69426531/34496 |
j-invariant |
L |
8.2181531532904 |
L(r)(E,1)/r! |
Ω |
0.19428509496436 |
Real period |
R |
2.6437157921323 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999678265 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15246bc1 121968cs1 11088bd1 |
Quadratic twists by: -4 -3 -11 |