Atkin-Lehner |
2- 3- 11+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
115434bn |
Isogeny class |
Conductor |
115434 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
864864 |
Modular degree for the optimal curve |
Δ |
-46645260767829504 = -1 · 29 · 36 · 119 · 53 |
Discriminant |
Eigenvalues |
2- 3- -1 -2 11+ -3 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-192413,34155685] |
[a1,a2,a3,a4,a6] |
Generators |
[575:10360:1] |
Generators of the group modulo torsion |
j |
-458314011/27136 |
j-invariant |
L |
7.9003988051842 |
L(r)(E,1)/r! |
Ω |
0.35348873010462 |
Real period |
R |
1.2416549789324 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000068387 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12826a1 115434n1 |
Quadratic twists by: -3 -11 |