Atkin-Lehner |
2- 5+ 11- 101- |
Signs for the Atkin-Lehner involutions |
Class |
111100d |
Isogeny class |
Conductor |
111100 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
964313281250000 = 24 · 511 · 112 · 1012 |
Discriminant |
Eigenvalues |
2- 0 5+ -2 11- 4 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-35300,-2069875] |
[a1,a2,a3,a4,a6] |
Generators |
[-101:682:1] [-670:4375:8] |
Generators of the group modulo torsion |
j |
19458431041536/3857253125 |
j-invariant |
L |
11.067250968701 |
L(r)(E,1)/r! |
Ω |
0.35312480250203 |
Real period |
R |
7.8352263080295 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999985309 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22220e1 |
Quadratic twists by: 5 |