Atkin-Lehner |
2- 7+ 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
125426o |
Isogeny class |
Conductor |
125426 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
409600 |
Modular degree for the optimal curve |
Δ |
-37544926526464 = -1 · 210 · 72 · 176 · 31 |
Discriminant |
Eigenvalues |
2- 2 2 7+ 2 -4 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,6063,234671] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:382:1] |
Generators of the group modulo torsion |
j |
1021147343/1555456 |
j-invariant |
L |
17.529327265548 |
L(r)(E,1)/r! |
Ω |
0.441333308671 |
Real period |
R |
3.9719021806055 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999741611 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
434d1 |
Quadratic twists by: 17 |