Atkin-Lehner |
5+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
117325g |
Isogeny class |
Conductor |
117325 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
293760 |
Modular degree for the optimal curve |
Δ |
1720644453125 = 57 · 132 · 194 |
Discriminant |
Eigenvalues |
-2 -2 5+ -2 -3 13- -8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-3008,-8106] |
[a1,a2,a3,a4,a6] |
Generators |
[-51:123:1] [-406:1021:8] |
Generators of the group modulo torsion |
j |
1478656/845 |
j-invariant |
L |
3.3491790537949 |
L(r)(E,1)/r! |
Ω |
0.69821931367376 |
Real period |
R |
0.1998643180766 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000017638 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23465b1 117325e1 |
Quadratic twists by: 5 -19 |