Atkin-Lehner |
2- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
62192r |
Isogeny class |
Conductor |
62192 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-366186496 = -1 · 212 · 132 · 232 |
Discriminant |
Eigenvalues |
2- 2 -3 -2 0 13+ -3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,48,896] |
[a1,a2,a3,a4,a6] |
Generators |
[26:138:1] |
Generators of the group modulo torsion |
j |
17303/529 |
j-invariant |
L |
6.3480235103251 |
L(r)(E,1)/r! |
Ω |
1.2791416271684 |
Real period |
R |
1.2406803467757 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000068 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3887b1 62192q1 |
Quadratic twists by: -4 13 |