Atkin-Lehner |
2- 3- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
115596k |
Isogeny class |
Conductor |
115596 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
580608 |
Modular degree for the optimal curve |
Δ |
-92739616465614768 = -1 · 24 · 39 · 138 · 192 |
Discriminant |
Eigenvalues |
2- 3- 0 0 0 13+ 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-111540,-20500207] |
[a1,a2,a3,a4,a6] |
Generators |
[2431:118638:1] |
Generators of the group modulo torsion |
j |
-2725888000/1647243 |
j-invariant |
L |
6.4299092928667 |
L(r)(E,1)/r! |
Ω |
0.12711374087543 |
Real period |
R |
2.1076626643335 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000053595 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38532a1 8892h1 |
Quadratic twists by: -3 13 |