Atkin-Lehner |
2+ 23- 83- |
Signs for the Atkin-Lehner involutions |
Class |
87814d |
Isogeny class |
Conductor |
87814 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
98560 |
Modular degree for the optimal curve |
Δ |
-196591660592 = -1 · 24 · 236 · 83 |
Discriminant |
Eigenvalues |
2+ -1 2 -1 5 -2 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3449,-82283] |
[a1,a2,a3,a4,a6] |
Generators |
[266:4099:1] |
Generators of the group modulo torsion |
j |
-30664297/1328 |
j-invariant |
L |
4.6653410552516 |
L(r)(E,1)/r! |
Ω |
0.31069272850126 |
Real period |
R |
1.8769915677019 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000623 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
166a1 |
Quadratic twists by: -23 |