Atkin-Lehner |
7- 23- 29- |
Signs for the Atkin-Lehner involutions |
Class |
32683j |
Isogeny class |
Conductor |
32683 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
253440 |
Modular degree for the optimal curve |
Δ |
-35913119261478487 = -1 · 73 · 236 · 294 |
Discriminant |
Eigenvalues |
1 -2 2 7- 0 -4 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,74755,4615083] |
[a1,a2,a3,a4,a6] |
Generators |
[-426:5775:8] [33:2651:1] |
Generators of the group modulo torsion |
j |
134697234987082529/104702971607809 |
j-invariant |
L |
8.0566197530005 |
L(r)(E,1)/r! |
Ω |
0.23524386297264 |
Real period |
R |
2.853995725682 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999981 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32683i1 |
Quadratic twists by: -7 |