Atkin-Lehner |
11+ 13- 61- |
Signs for the Atkin-Lehner involutions |
Class |
95953b |
Isogeny class |
Conductor |
95953 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
66816 |
Modular degree for the optimal curve |
Δ |
-141452665211 = -1 · 113 · 134 · 612 |
Discriminant |
Eigenvalues |
0 -1 -3 -2 11+ 13- 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-117,-18063] |
[a1,a2,a3,a4,a6] |
Generators |
[57:-397:1] |
Generators of the group modulo torsion |
j |
-134217728/106275481 |
j-invariant |
L |
2.4939462840166 |
L(r)(E,1)/r! |
Ω |
0.46571833914853 |
Real period |
R |
0.33469080019004 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999459963 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95953a1 |
Quadratic twists by: -11 |