Atkin-Lehner |
2+ 7+ 11+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
85162a |
Isogeny class |
Conductor |
85162 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
107856 |
Modular degree for the optimal curve |
Δ |
40076896552 = 23 · 78 · 11 · 79 |
Discriminant |
Eigenvalues |
2+ 1 -4 7+ 11+ -2 -1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-908,4162] |
[a1,a2,a3,a4,a6] |
Generators |
[4:22:1] |
Generators of the group modulo torsion |
j |
14338681/6952 |
j-invariant |
L |
2.4048700178613 |
L(r)(E,1)/r! |
Ω |
1.0212349945142 |
Real period |
R |
0.78495483000865 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999721731 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85162f1 |
Quadratic twists by: -7 |