Atkin-Lehner |
3- 5+ 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
114975bc |
Isogeny class |
Conductor |
114975 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
506880 |
Modular degree for the optimal curve |
Δ |
-2062678447265625 = -1 · 310 · 510 · 72 · 73 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 3 4 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,25195,-1557178] |
[a1,a2,a3,a4,a6] |
j |
248459375/289737 |
j-invariant |
L |
1.0001390837992 |
L(r)(E,1)/r! |
Ω |
0.25003501765911 |
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 |
38325n1 114975bf1 |
Quadratic twists by: -3 5 |