Atkin-Lehner |
2+ 3- 13+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
114192k |
Isogeny class |
Conductor |
114192 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
159744 |
Modular degree for the optimal curve |
Δ |
107886774528 = 28 · 312 · 13 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 4 0 4 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2703,-51730] |
[a1,a2,a3,a4,a6] |
Generators |
[13030:111746:125] |
Generators of the group modulo torsion |
j |
11702923216/578097 |
j-invariant |
L |
10.781343267028 |
L(r)(E,1)/r! |
Ω |
0.66415199880201 |
Real period |
R |
8.1166233942586 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999678965 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57096n1 38064c1 |
Quadratic twists by: -4 -3 |