Atkin-Lehner |
2- 3- 5- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
59280cf |
Isogeny class |
Conductor |
59280 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
114688 |
Modular degree for the optimal curve |
Δ |
-22526400000000 = -1 · 212 · 3 · 58 · 13 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 4 13- -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1360,227988] |
[a1,a2,a3,a4,a6] |
Generators |
[36:570:1] |
Generators of the group modulo torsion |
j |
67867385039/5499609375 |
j-invariant |
L |
9.084066186748 |
L(r)(E,1)/r! |
Ω |
0.5180022461749 |
Real period |
R |
1.0960457041756 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999725 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3705e1 |
Quadratic twists by: -4 |