Atkin-Lehner |
2+ 5+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
5050b |
Isogeny class |
Conductor |
5050 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
-1262500000 = -1 · 25 · 58 · 101 |
Discriminant |
Eigenvalues |
2+ 2 5+ -1 -6 6 1 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-375,3125] |
[a1,a2,a3,a4,a6] |
Generators |
[5:35:1] |
Generators of the group modulo torsion |
j |
-374805361/80800 |
j-invariant |
L |
3.7666107949214 |
L(r)(E,1)/r! |
Ω |
1.4648190045256 |
Real period |
R |
1.2856915370719 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40400n1 45450cd1 1010b1 |
Quadratic twists by: -4 -3 5 |