Atkin-Lehner |
2+ 13+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
96746a |
Isogeny class |
Conductor |
96746 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8400 |
Modular degree for the optimal curve |
Δ |
-193492 = -1 · 22 · 13 · 612 |
Discriminant |
Eigenvalues |
2+ 0 2 1 0 13+ 5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,4,20] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:2:1] |
Generators of the group modulo torsion |
j |
1647/52 |
j-invariant |
L |
5.4846112520139 |
L(r)(E,1)/r! |
Ω |
2.4002527599578 |
Real period |
R |
1.1425070155956 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000031187 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96746g1 |
Quadratic twists by: 61 |