Atkin-Lehner |
2+ 3- 17- |
Signs for the Atkin-Lehner involutions |
Class |
41616bf |
Isogeny class |
Conductor |
41616 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
235008 |
Modular degree for the optimal curve |
Δ |
-35149781430067968 = -1 · 28 · 39 · 178 |
Discriminant |
Eigenvalues |
2+ 3- 0 3 2 -3 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-73695,11859982] |
[a1,a2,a3,a4,a6] |
Generators |
[189:2164:1] |
Generators of the group modulo torsion |
j |
-34000/27 |
j-invariant |
L |
6.7992360063176 |
L(r)(E,1)/r! |
Ω |
0.33683552075411 |
Real period |
R |
5.0464066193863 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20808q1 13872q1 41616u1 |
Quadratic twists by: -4 -3 17 |