Atkin-Lehner |
2- 7- 19- 41- |
Signs for the Atkin-Lehner involutions |
Class |
87248z |
Isogeny class |
Conductor |
87248 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
156672 |
Modular degree for the optimal curve |
Δ |
3394994176 = 215 · 7 · 192 · 41 |
Discriminant |
Eigenvalues |
2- -3 -1 7- 6 4 -5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3643,84586] |
[a1,a2,a3,a4,a6] |
Generators |
[31:38:1] |
Generators of the group modulo torsion |
j |
1305392995089/828856 |
j-invariant |
L |
3.9487796416779 |
L(r)(E,1)/r! |
Ω |
1.3956374713013 |
Real period |
R |
0.70734336815965 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000749 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10906i1 |
Quadratic twists by: -4 |