Atkin-Lehner |
3+ 7- 19- 71- |
Signs for the Atkin-Lehner involutions |
Class |
84987f |
Isogeny class |
Conductor |
84987 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
41600 |
Modular degree for the optimal curve |
Δ |
-11631065859 = -1 · 33 · 75 · 192 · 71 |
Discriminant |
Eigenvalues |
-1 3+ -1 7- -5 -1 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,82,5160] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:48:1] [-6:69:1] |
Generators of the group modulo torsion |
j |
2284322013/430780217 |
j-invariant |
L |
6.5677043570601 |
L(r)(E,1)/r! |
Ω |
0.98255260879658 |
Real period |
R |
0.33421642252561 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999331 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84987a1 |
Quadratic twists by: -3 |