Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
116160du |
Isogeny class |
Conductor |
116160 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
46301518296000 = 26 · 33 · 53 · 118 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 11- 4 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-544056,154277550] |
[a1,a2,a3,a4,a6] |
Generators |
[3450:1635:8] |
Generators of the group modulo torsion |
j |
157079401546816/408375 |
j-invariant |
L |
7.8560913229498 |
L(r)(E,1)/r! |
Ω |
0.5530542983527 |
Real period |
R |
4.7349728874684 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999986712 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116160ba1 58080bs2 10560v1 |
Quadratic twists by: -4 8 -11 |