Atkin-Lehner |
2+ 7- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
80752d |
Isogeny class |
Conductor |
80752 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
970752 |
Modular degree for the optimal curve |
Δ |
-173721454592 = -1 · 211 · 77 · 103 |
Discriminant |
Eigenvalues |
2+ -1 2 7- -4 -1 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8135192,8933706832] |
[a1,a2,a3,a4,a6] |
j |
-247120625675830034/721 |
j-invariant |
L |
1.9046608840083 |
L(r)(E,1)/r! |
Ω |
0.47616521933896 |
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 |
40376c1 11536c1 |
Quadratic twists by: -4 -7 |