Atkin-Lehner |
2+ 3- 31- |
Signs for the Atkin-Lehner involutions |
Class |
69192y |
Isogeny class |
Conductor |
69192 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
179345664 = 28 · 36 · 312 |
Discriminant |
Eigenvalues |
2+ 3- -3 3 5 1 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-279,1674] |
[a1,a2,a3,a4,a6] |
Generators |
[7:8:1] |
Generators of the group modulo torsion |
j |
13392 |
j-invariant |
L |
5.995085734006 |
L(r)(E,1)/r! |
Ω |
1.7640869207275 |
Real period |
R |
1.6992036115304 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000831 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7688q1 69192h1 |
Quadratic twists by: -3 -31 |