Atkin-Lehner |
2- 5+ 31+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
114700b |
Isogeny class |
Conductor |
114700 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
142228000000 = 28 · 56 · 312 · 37 |
Discriminant |
Eigenvalues |
2- -1 5+ -1 3 0 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8333,-289463] |
[a1,a2,a3,a4,a6] |
j |
16000000000/35557 |
j-invariant |
L |
1.9989998613836 |
L(r)(E,1)/r! |
Ω |
0.49975006135272 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4588c1 |
Quadratic twists by: 5 |