Atkin-Lehner |
3- 7- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
78771u |
Isogeny class |
Conductor |
78771 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
12686148321 = 3 · 7 · 117 · 31 |
Discriminant |
Eigenvalues |
-1 3- 2 7- 11- 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-18092,-938145] |
[a1,a2,a3,a4,a6] |
Generators |
[-672510218955:346564953137:8678316375] |
Generators of the group modulo torsion |
j |
369682454233/7161 |
j-invariant |
L |
6.2797127170008 |
L(r)(E,1)/r! |
Ω |
0.41165016103968 |
Real period |
R |
15.25497451798 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000029 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7161g1 |
Quadratic twists by: -11 |