Atkin-Lehner |
3- 5+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
15345g |
Isogeny class |
Conductor |
15345 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4992 |
Modular degree for the optimal curve |
Δ |
-838987875 = -1 · 39 · 53 · 11 · 31 |
Discriminant |
Eigenvalues |
0 3- 5+ -1 11- 2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,222,-567] |
[a1,a2,a3,a4,a6] |
j |
1659797504/1150875 |
j-invariant |
L |
1.7915554022514 |
L(r)(E,1)/r! |
Ω |
0.89577770112572 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5115i1 76725u1 |
Quadratic twists by: -3 5 |