Atkin-Lehner |
2+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
118336b |
Isogeny class |
Conductor |
118336 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1387008 |
Modular degree for the optimal curve |
Δ |
191499473348214784 = 214 · 438 |
Discriminant |
Eigenvalues |
2+ 1 1 5 0 -3 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-742065,-245388049] |
[a1,a2,a3,a4,a6] |
Generators |
[-7986725:12395696:15625] |
Generators of the group modulo torsion |
j |
235984 |
j-invariant |
L |
11.017178312231 |
L(r)(E,1)/r! |
Ω |
0.16270456479965 |
Real period |
R |
5.6427316365007 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999726378 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118336y1 14792a1 118336o1 |
Quadratic twists by: -4 8 -43 |