Atkin-Lehner |
2+ 3- 17- |
Signs for the Atkin-Lehner involutions |
Class |
41616bd |
Isogeny class |
Conductor |
41616 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
391680 |
Modular degree for the optimal curve |
Δ |
-15622125080030208 = -1 · 210 · 37 · 178 |
Discriminant |
Eigenvalues |
2+ 3- 0 1 4 -5 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-958035,360977762] |
[a1,a2,a3,a4,a6] |
Generators |
[289:10404:1] |
Generators of the group modulo torsion |
j |
-18674500/3 |
j-invariant |
L |
5.9246999532799 |
L(r)(E,1)/r! |
Ω |
0.37994686935088 |
Real period |
R |
0.32486449812737 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999994 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20808bh1 13872d1 41616p1 |
Quadratic twists by: -4 -3 17 |