Atkin-Lehner |
2+ 3- 5+ 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
113850t |
Isogeny class |
Conductor |
113850 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
15482880 |
Modular degree for the optimal curve |
Δ |
-2431542480468750 = -1 · 2 · 39 · 512 · 11 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 11+ 3 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-316727442,2169664103466] |
[a1,a2,a3,a4,a6] |
j |
-308484422503771629884761/213468750 |
j-invariant |
L |
1.5905606326966 |
L(r)(E,1)/r! |
Ω |
0.1988200861156 |
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 |
37950cy1 22770bh1 |
Quadratic twists by: -3 5 |