Atkin-Lehner |
2- 3- 17+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
115056n |
Isogeny class |
Conductor |
115056 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
811008 |
Modular degree for the optimal curve |
Δ |
7184837976182784 = 212 · 317 · 172 · 47 |
Discriminant |
Eigenvalues |
2- 3- 1 -3 1 -6 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-252192,48575792] |
[a1,a2,a3,a4,a6] |
Generators |
[1177:37179:1] |
Generators of the group modulo torsion |
j |
594059784454144/2406187701 |
j-invariant |
L |
5.045112892641 |
L(r)(E,1)/r! |
Ω |
0.42101045666834 |
Real period |
R |
1.4979179241344 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000036291 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7191e1 38352l1 |
Quadratic twists by: -4 -3 |