Atkin-Lehner |
2+ 5+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
114920d |
Isogeny class |
Conductor |
114920 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1204224 |
Modular degree for the optimal curve |
Δ |
23211931408640 = 28 · 5 · 137 · 172 |
Discriminant |
Eigenvalues |
2+ 2 5+ 4 -2 13+ 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1057996,419217876] |
[a1,a2,a3,a4,a6] |
j |
105992740376656/18785 |
j-invariant |
L |
4.2557307469128 |
L(r)(E,1)/r! |
Ω |
0.53196639627708 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8840e1 |
Quadratic twists by: 13 |