Atkin-Lehner |
3- 5- 7+ 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
107415r |
Isogeny class |
Conductor |
107415 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
307200 |
Modular degree for the optimal curve |
Δ |
-67442443046055 = -1 · 312 · 5 · 74 · 11 · 312 |
Discriminant |
Eigenvalues |
1 3- 5- 7+ 11+ -6 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,2961,-390960] |
[a1,a2,a3,a4,a6] |
j |
3937575558671/92513639295 |
j-invariant |
L |
2.3969694953329 |
L(r)(E,1)/r! |
Ω |
0.29962118178582 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35805l1 |
Quadratic twists by: -3 |