Atkin-Lehner |
2+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
9152h |
Isogeny class |
Conductor |
9152 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6656 |
Modular degree for the optimal curve |
Δ |
-206176256 = -1 · 217 · 112 · 13 |
Discriminant |
Eigenvalues |
2+ -3 -3 -3 11+ 13- -5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,116,496] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:11:1] [-2:16:1] |
Generators of the group modulo torsion |
j |
1317006/1573 |
j-invariant |
L |
3.0942045227626 |
L(r)(E,1)/r! |
Ω |
1.19075100804 |
Real period |
R |
0.32481649205762 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999925 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9152bf1 1144a1 82368cn1 100672bd1 |
Quadratic twists by: -4 8 -3 -11 |