Atkin-Lehner |
3- 5+ 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
5115g |
Isogeny class |
Conductor |
5115 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
960 |
Modular degree for the optimal curve |
Δ |
506385 = 33 · 5 · 112 · 31 |
Discriminant |
Eigenvalues |
1 3- 5+ -2 11+ 2 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-84,-299] |
[a1,a2,a3,a4,a6] |
Generators |
[11:6:1] |
Generators of the group modulo torsion |
j |
64432972729/506385 |
j-invariant |
L |
4.8867672476386 |
L(r)(E,1)/r! |
Ω |
1.5799984692273 |
Real period |
R |
2.0619291063948 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81840br1 15345k1 25575c1 56265v1 |
Quadratic twists by: -4 -3 5 -11 |