Atkin-Lehner |
3- 13+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
52221h |
Isogeny class |
Conductor |
52221 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
21597324908539887 = 32 · 1312 · 103 |
Discriminant |
Eigenvalues |
1 3- -2 2 -4 13+ -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-69632,-156661] |
[a1,a2,a3,a4,a6] |
Generators |
[-30303:1980562:2197] |
Generators of the group modulo torsion |
j |
7735372650433/4474451943 |
j-invariant |
L |
6.5515530429434 |
L(r)(E,1)/r! |
Ω |
0.32192936277009 |
Real period |
R |
10.175451202272 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000008 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4017c2 |
Quadratic twists by: 13 |