Atkin-Lehner |
2+ 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
117600ds |
Isogeny class |
Conductor |
117600 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
1209600 |
Modular degree for the optimal curve |
Δ |
-190670793075000000 = -1 · 26 · 33 · 58 · 710 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 0 1 -4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,100042,17151588] |
[a1,a2,a3,a4,a6] |
j |
15680/27 |
j-invariant |
L |
3.9308718677967 |
L(r)(E,1)/r! |
Ω |
0.21838175994815 |
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 |
117600fr1 117600ej1 117600bh1 |
Quadratic twists by: -4 5 -7 |