Atkin-Lehner |
2+ 5+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
23600b |
Isogeny class |
Conductor |
23600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
13440 |
Modular degree for the optimal curve |
Δ |
-236000000 = -1 · 28 · 56 · 59 |
Discriminant |
Eigenvalues |
2+ -1 5+ 1 -4 -2 -2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6908,223312] |
[a1,a2,a3,a4,a6] |
Generators |
[48:4:1] |
Generators of the group modulo torsion |
j |
-9115564624/59 |
j-invariant |
L |
3.6162184620672 |
L(r)(E,1)/r! |
Ω |
1.5715175585585 |
Real period |
R |
1.1505498116688 |
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 |
11800f1 94400cp1 944b1 |
Quadratic twists by: -4 8 5 |