Atkin-Lehner |
3- 5- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
103635bi |
Isogeny class |
Conductor |
103635 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1128960 |
Modular degree for the optimal curve |
Δ |
-34116534334116675 = -1 · 37 · 52 · 710 · 472 |
Discriminant |
Eigenvalues |
2 3- 5- 7- 0 3 -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,79233,2298357] |
[a1,a2,a3,a4,a6] |
j |
267137024/165675 |
j-invariant |
L |
7.2823156905159 |
L(r)(E,1)/r! |
Ω |
0.22757237116985 |
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 |
34545r1 103635j1 |
Quadratic twists by: -3 -7 |