Atkin-Lehner |
3- 23- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
93633c |
Isogeny class |
Conductor |
93633 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
25920 |
Modular degree for the optimal curve |
Δ |
-22752819 = -1 · 36 · 232 · 59 |
Discriminant |
Eigenvalues |
0 3- 3 1 6 2 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,31,230] |
[a1,a2,a3,a4,a6] |
Generators |
[10:40:1] |
Generators of the group modulo torsion |
j |
6029312/43011 |
j-invariant |
L |
10.375289467854 |
L(r)(E,1)/r! |
Ω |
1.5574074213604 |
Real period |
R |
1.1103163416461 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004462 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
93633d1 |
Quadratic twists by: -23 |