Atkin-Lehner |
2- 3+ 7+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
52668g |
Isogeny class |
Conductor |
52668 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
524160 |
Modular degree for the optimal curve |
Δ |
13059654718328064 = 28 · 39 · 7 · 117 · 19 |
Discriminant |
Eigenvalues |
2- 3+ -3 7+ 11- 4 -8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-348624,-79037964] |
[a1,a2,a3,a4,a6] |
Generators |
[-2766:3267:8] |
Generators of the group modulo torsion |
j |
929960064516096/2591793743 |
j-invariant |
L |
3.9458831954532 |
L(r)(E,1)/r! |
Ω |
0.19650924421708 |
Real period |
R |
1.4342775618386 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000029 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52668c1 |
Quadratic twists by: -3 |