Atkin-Lehner |
2- 3- 5+ 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
117300s |
Isogeny class |
Conductor |
117300 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
179712 |
Modular degree for the optimal curve |
Δ |
2529281250000 = 24 · 32 · 59 · 17 · 232 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 2 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-17133,-865512] |
[a1,a2,a3,a4,a6] |
Generators |
[-5422988:2779002:68921] |
Generators of the group modulo torsion |
j |
2224893853696/10117125 |
j-invariant |
L |
9.3235063216935 |
L(r)(E,1)/r! |
Ω |
0.41740526386227 |
Real period |
R |
11.168410075248 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001387 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23460j1 |
Quadratic twists by: 5 |