Atkin-Lehner |
2- 5- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
23600be |
Isogeny class |
Conductor |
23600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
31104 |
Modular degree for the optimal curve |
Δ |
-71290880000 = -1 · 215 · 54 · 592 |
Discriminant |
Eigenvalues |
2- -3 5- 2 -1 2 1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-475,13450] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:118:1] |
Generators of the group modulo torsion |
j |
-4629825/27848 |
j-invariant |
L |
3.392670527404 |
L(r)(E,1)/r! |
Ω |
0.94460589800291 |
Real period |
R |
0.89790634765693 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2950v1 94400dr1 23600o1 |
Quadratic twists by: -4 8 5 |