Atkin-Lehner |
2- 3- 7+ 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
114954cd |
Isogeny class |
Conductor |
114954 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
1378944 |
Modular degree for the optimal curve |
Δ |
89584454119104 = 26 · 33 · 78 · 17 · 232 |
Discriminant |
Eigenvalues |
2- 3- -3 7+ 0 -1 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-709717,230071841] |
[a1,a2,a3,a4,a6] |
Generators |
[-290:20431:1] |
Generators of the group modulo torsion |
j |
6857961687351313/15539904 |
j-invariant |
L |
10.68506406755 |
L(r)(E,1)/r! |
Ω |
0.52109435170429 |
Real period |
R |
1.7087538892058 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000061895 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
114954br1 |
Quadratic twists by: -7 |