Atkin-Lehner |
2- 3- 17- |
Signs for the Atkin-Lehner involutions |
Class |
55488eb |
Isogeny class |
Conductor |
55488 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
391680 |
Modular degree for the optimal curve |
Δ |
-1371489718960128 = -1 · 216 · 3 · 178 |
Discriminant |
Eigenvalues |
2- 3- 0 1 4 5 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-425793,-107098305] |
[a1,a2,a3,a4,a6] |
j |
-18674500/3 |
j-invariant |
L |
4.6723531786352 |
L(r)(E,1)/r! |
Ω |
0.093447063594975 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55488q1 13872d1 55488ca1 |
Quadratic twists by: -4 8 17 |