Atkin-Lehner |
2- 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
24800r |
Isogeny class |
Conductor |
24800 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
17088 |
Modular degree for the optimal curve |
Δ |
-307520000 = -1 · 29 · 54 · 312 |
Discriminant |
Eigenvalues |
2- 3 5- 4 3 -4 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,125,650] |
[a1,a2,a3,a4,a6] |
j |
675000/961 |
j-invariant |
L |
6.996809968822 |
L(r)(E,1)/r! |
Ω |
1.1661349948036 |
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 |
24800i1 49600bi1 24800f1 |
Quadratic twists by: -4 8 5 |