Atkin-Lehner |
2+ 3- 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
5610n |
Isogeny class |
Conductor |
5610 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
1038579300 = 22 · 33 · 52 · 113 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 11- -4 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-18729,984952] |
[a1,a2,a3,a4,a6] |
Generators |
[-74:1439:1] |
Generators of the group modulo torsion |
j |
726497538898787209/1038579300 |
j-invariant |
L |
3.4461483901171 |
L(r)(E,1)/r! |
Ω |
1.3228093811851 |
Real period |
R |
1.3025869180901 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
44880bc1 16830cp1 28050cj1 61710co1 |
Quadratic twists by: -4 -3 5 -11 |