Atkin-Lehner |
5- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
33635l |
Isogeny class |
Conductor |
33635 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
2760 |
Modular degree for the optimal curve |
Δ |
33635 = 5 · 7 · 312 |
Discriminant |
Eigenvalues |
-1 -2 5- 7+ -4 5 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-20,-35] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:2:1] |
Generators of the group modulo torsion |
j |
923521/35 |
j-invariant |
L |
2.0668960253961 |
L(r)(E,1)/r! |
Ω |
2.2622528580681 |
Real period |
R |
0.91364500569625 |
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 |
33635h1 |
Quadratic twists by: -31 |