Atkin-Lehner |
2+ 3+ 5- 11- 71- |
Signs for the Atkin-Lehner involutions |
Class |
117150p |
Isogeny class |
Conductor |
117150 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
576000 |
Modular degree for the optimal curve |
Δ |
-223273382186250 = -1 · 2 · 32 · 54 · 11 · 715 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 11- -4 7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-31500,-2281950] |
[a1,a2,a3,a4,a6] |
j |
-5530913906616025/357237411498 |
j-invariant |
L |
1.7851382103371 |
L(r)(E,1)/r! |
Ω |
0.17851386320257 |
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 |
117150cd2 |
Quadratic twists by: 5 |