Atkin-Lehner |
2+ 3+ 5+ 13- 59- |
Signs for the Atkin-Lehner involutions |
Class |
115050m |
Isogeny class |
Conductor |
115050 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
451584 |
Modular degree for the optimal curve |
Δ |
-152611148476800 = -1 · 27 · 314 · 52 · 132 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -3 -4 13- -1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-12120,780480] |
[a1,a2,a3,a4,a6] |
Generators |
[-39:1113:1] |
Generators of the group modulo torsion |
j |
-7876758868756465/6104445939072 |
j-invariant |
L |
2.5926066313692 |
L(r)(E,1)/r! |
Ω |
0.53043500738386 |
Real period |
R |
1.2219247406426 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999848343 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115050ce1 |
Quadratic twists by: 5 |