Atkin-Lehner |
3- 5+ 23- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
61065g |
Isogeny class |
Conductor |
61065 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
219648 |
Modular degree for the optimal curve |
Δ |
503824203424125 = 317 · 53 · 232 · 59 |
Discriminant |
Eigenvalues |
0 3- 5+ -4 3 -3 7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-20028,154629] |
[a1,a2,a3,a4,a6] |
Generators |
[-67:1093:1] |
Generators of the group modulo torsion |
j |
1218734013546496/691116877125 |
j-invariant |
L |
3.7650923106382 |
L(r)(E,1)/r! |
Ω |
0.44974456635021 |
Real period |
R |
1.0464529736436 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998414 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20355d1 |
Quadratic twists by: -3 |