Atkin-Lehner |
3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
2535b |
Isogeny class |
Conductor |
2535 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
14112 |
Modular degree for the optimal curve |
Δ |
-115960200643755 = -1 · 37 · 5 · 139 |
Discriminant |
Eigenvalues |
-2 3+ 5+ -3 1 13+ -1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-32166,2290862] |
[a1,a2,a3,a4,a6] |
Generators |
[35:1098:1] |
Generators of the group modulo torsion |
j |
-762549907456/24024195 |
j-invariant |
L |
1.1586884035409 |
L(r)(E,1)/r! |
Ω |
0.58831593713907 |
Real period |
R |
0.49237507026221 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40560ch1 7605s1 12675ba1 124215db1 |
Quadratic twists by: -4 -3 5 -7 |