Atkin-Lehner |
2- 7+ 19- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
32452b |
Isogeny class |
Conductor |
32452 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
254880 |
Modular degree for the optimal curve |
Δ |
-26772594631353088 = -1 · 28 · 73 · 192 · 615 |
Discriminant |
Eigenvalues |
2- -2 -2 7+ -4 4 -5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,66131,4395615] |
[a1,a2,a3,a4,a6] |
Generators |
[-62:247:1] |
Generators of the group modulo torsion |
j |
124937395850436608/104580447778723 |
j-invariant |
L |
2.0227541982013 |
L(r)(E,1)/r! |
Ω |
0.24314215127357 |
Real period |
R |
4.159612365865 |
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 |
129808j1 |
Quadratic twists by: -4 |