Atkin-Lehner |
3- 5+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
103635w |
Isogeny class |
Conductor |
103635 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
9953280 |
Modular degree for the optimal curve |
Δ |
-2.0752076679436E+22 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 2 -4 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-66696188,-209750157858] |
[a1,a2,a3,a4,a6] |
j |
-382570056949462495849/241961236412175 |
j-invariant |
L |
0.21130834663109 |
L(r)(E,1)/r! |
Ω |
0.02641361433694 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34545i1 14805j1 |
Quadratic twists by: -3 -7 |