Atkin-Lehner |
2+ 5- 61- |
Signs for the Atkin-Lehner involutions |
Class |
97600bf |
Isogeny class |
Conductor |
97600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
163840 |
Modular degree for the optimal curve |
Δ |
1952000000000 = 214 · 59 · 61 |
Discriminant |
Eigenvalues |
2+ 0 5- 0 -6 -4 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9500,-350000] |
[a1,a2,a3,a4,a6] |
Generators |
[-51:43:1] |
Generators of the group modulo torsion |
j |
2963088/61 |
j-invariant |
L |
3.6831993414779 |
L(r)(E,1)/r! |
Ω |
0.48418599534957 |
Real period |
R |
3.8034963665506 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999820383 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97600co1 12200c1 97600be1 |
Quadratic twists by: -4 8 5 |