Atkin-Lehner |
5- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
33635o |
Isogeny class |
Conductor |
33635 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
2580480 |
Modular degree for the optimal curve |
Δ |
-2.2854814518927E+19 |
Discriminant |
Eigenvalues |
-2 1 5- 7+ 1 -3 -5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-31992010,-69659326194] |
[a1,a2,a3,a4,a6] |
Generators |
[435405:287278937:1] |
Generators of the group modulo torsion |
j |
-4080168919667961856/25751796875 |
j-invariant |
L |
3.0209876217958 |
L(r)(E,1)/r! |
Ω |
0.031740152693699 |
Real period |
R |
6.7984811607756 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1085h1 |
Quadratic twists by: -31 |