Atkin-Lehner |
2- 5- 7- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
123760bx |
Isogeny class |
Conductor |
123760 |
Conductor |
∏ cp |
25 |
Product of Tamagawa factors cp |
deg |
355200 |
Modular degree for the optimal curve |
Δ |
-6460349350000 = -1 · 24 · 55 · 7 · 13 · 175 |
Discriminant |
Eigenvalues |
2- 2 5- 7- -1 13- 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-58570,-5437725] |
[a1,a2,a3,a4,a6] |
j |
-1388790754035310336/403771834375 |
j-invariant |
L |
3.8360347170108 |
L(r)(E,1)/r! |
Ω |
0.15344140290791 |
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 |
30940j1 |
Quadratic twists by: -4 |