Atkin-Lehner |
3+ 5+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
113925d |
Isogeny class |
Conductor |
113925 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
388800 |
Modular degree for the optimal curve |
Δ |
-608386201171875 = -1 · 33 · 510 · 74 · 312 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7+ -2 5 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,14675,-963500] |
[a1,a2,a3,a4,a6] |
j |
14904575/25947 |
j-invariant |
L |
2.1620770028716 |
L(r)(E,1)/r! |
Ω |
0.27025950888512 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113925cs1 113925bw1 |
Quadratic twists by: 5 -7 |