Atkin-Lehner |
2- 3+ 5+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
49440i |
Isogeny class |
Conductor |
49440 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
25088 |
Modular degree for the optimal curve |
Δ |
-21358080 = -1 · 29 · 34 · 5 · 103 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 -1 1 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3856,93460] |
[a1,a2,a3,a4,a6] |
Generators |
[36:-2:1] |
Generators of the group modulo torsion |
j |
-12387322664072/41715 |
j-invariant |
L |
5.2976290970826 |
L(r)(E,1)/r! |
Ω |
1.8811038496418 |
Real period |
R |
0.70405856355348 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999767 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49440n1 98880cc1 |
Quadratic twists by: -4 8 |