Atkin-Lehner |
2- 3+ 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
114240hv |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
9910434240 = 26 · 37 · 5 · 72 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -4 -4 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-14540,-669990] |
[a1,a2,a3,a4,a6] |
Generators |
[974831:10089454:4913] |
Generators of the group modulo torsion |
j |
5312107147011904/154850535 |
j-invariant |
L |
4.8938728767875 |
L(r)(E,1)/r! |
Ω |
0.43476715123874 |
Real period |
R |
11.256307784526 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016025 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114240kg1 57120u2 |
Quadratic twists by: -4 8 |