Atkin-Lehner |
2+ 23- 37- |
Signs for the Atkin-Lehner involutions |
Class |
13616f |
Isogeny class |
Conductor |
13616 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
6859631872 = 28 · 232 · 373 |
Discriminant |
Eigenvalues |
2+ 1 -2 1 5 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-529,-2645] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:37:1] |
Generators of the group modulo torsion |
j |
64072471552/26795437 |
j-invariant |
L |
5.1594028365561 |
L(r)(E,1)/r! |
Ω |
1.0330077100945 |
Real period |
R |
0.8324240606885 |
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 |
6808c1 54464t1 122544i1 |
Quadratic twists by: -4 8 -3 |