Atkin-Lehner |
2- 3- 5- 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
115920ea |
Isogeny class |
Conductor |
115920 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
393216 |
Modular degree for the optimal curve |
Δ |
1730676326400 = 216 · 38 · 52 · 7 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 0 -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-108867,-13825726] |
[a1,a2,a3,a4,a6] |
Generators |
[-190:2:1] [833:21760:1] |
Generators of the group modulo torsion |
j |
47788676405569/579600 |
j-invariant |
L |
12.319551098539 |
L(r)(E,1)/r! |
Ω |
0.26283052760906 |
Real period |
R |
11.718150864526 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14490bc1 38640bj1 |
Quadratic twists by: -4 -3 |