Atkin-Lehner |
5- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
33635k |
Isogeny class |
Conductor |
33635 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-842573807149375 = -1 · 54 · 72 · 317 |
Discriminant |
Eigenvalues |
-1 0 5- 7+ 4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,22403,527844] |
[a1,a2,a3,a4,a6] |
Generators |
[1782:74586:1] |
Generators of the group modulo torsion |
j |
1401168159/949375 |
j-invariant |
L |
3.3727917681538 |
L(r)(E,1)/r! |
Ω |
0.31539322374009 |
Real period |
R |
5.3469629565237 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
1085e1 |
Quadratic twists by: -31 |