Atkin-Lehner |
2+ 3+ 19- 61- |
Signs for the Atkin-Lehner involutions |
Class |
83448b |
Isogeny class |
Conductor |
83448 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1145088 |
Modular degree for the optimal curve |
Δ |
-173845859198976 = -1 · 211 · 39 · 19 · 613 |
Discriminant |
Eigenvalues |
2+ 3+ -3 3 -4 1 1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2990979,1990985886] |
[a1,a2,a3,a4,a6] |
Generators |
[63876:1647:64] |
Generators of the group modulo torsion |
j |
-73407859182041382/4312639 |
j-invariant |
L |
5.1481351616767 |
L(r)(E,1)/r! |
Ω |
0.43042758342369 |
Real period |
R |
1.9934190100326 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999965844 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83448h1 |
Quadratic twists by: -3 |