Atkin-Lehner |
2- 7- 11+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
85162x |
Isogeny class |
Conductor |
85162 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-426738794485696 = -1 · 26 · 78 · 114 · 79 |
Discriminant |
Eigenvalues |
2- 2 -2 7- 11+ 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-11859,1106321] |
[a1,a2,a3,a4,a6] |
Generators |
[2037:90820:1] |
Generators of the group modulo torsion |
j |
-1567768622113/3627219904 |
j-invariant |
L |
13.164358451185 |
L(r)(E,1)/r! |
Ω |
0.4699522138807 |
Real period |
R |
4.6686868957337 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999968021 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12166n1 |
Quadratic twists by: -7 |