Atkin-Lehner |
2+ 11- 101- |
Signs for the Atkin-Lehner involutions |
Class |
97768a |
Isogeny class |
Conductor |
97768 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-366443849728 = -1 · 211 · 116 · 101 |
Discriminant |
Eigenvalues |
2+ 0 -2 1 11- -4 -5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1331,34606] |
[a1,a2,a3,a4,a6] |
Generators |
[66:484:1] |
Generators of the group modulo torsion |
j |
-71874/101 |
j-invariant |
L |
3.4312618922521 |
L(r)(E,1)/r! |
Ω |
0.85978802307861 |
Real period |
R |
1.9954115481819 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999760238 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
808a1 |
Quadratic twists by: -11 |