Atkin-Lehner |
2- 3+ 5+ 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
13110w |
Isogeny class |
Conductor |
13110 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
4639555584000 = 220 · 34 · 53 · 19 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -4 6 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-92521,-10870057] |
[a1,a2,a3,a4,a6] |
j |
87588070629066163729/4639555584000 |
j-invariant |
L |
2.7374161870463 |
L(r)(E,1)/r! |
Ω |
0.27374161870463 |
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 |
104880cj1 39330w1 65550z1 |
Quadratic twists by: -4 -3 5 |