Atkin-Lehner |
5+ 11- 103- |
Signs for the Atkin-Lehner involutions |
Class |
62315c |
Isogeny class |
Conductor |
62315 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
12816 |
Modular degree for the optimal curve |
Δ |
-1557875 = -1 · 53 · 112 · 103 |
Discriminant |
Eigenvalues |
2 1 5+ 4 11- 4 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,4,61] |
[a1,a2,a3,a4,a6] |
Generators |
[-20482:70073:10648] |
Generators of the group modulo torsion |
j |
45056/12875 |
j-invariant |
L |
16.619614281416 |
L(r)(E,1)/r! |
Ω |
2.0736464024404 |
Real period |
R |
8.0146809320271 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62315d1 |
Quadratic twists by: -11 |