Atkin-Lehner |
11+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
112211a |
Isogeny class |
Conductor |
112211 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
734400 |
Modular degree for the optimal curve |
Δ |
12972837760494821 = 112 · 1017 |
Discriminant |
Eigenvalues |
0 0 3 0 11+ -5 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-265226,-52287776] |
[a1,a2,a3,a4,a6] |
Generators |
[-38380:56043:125] |
Generators of the group modulo torsion |
j |
1943764992/12221 |
j-invariant |
L |
4.3712970363923 |
L(r)(E,1)/r! |
Ω |
0.21045537336981 |
Real period |
R |
2.5963325046843 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000052772 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1111a1 |
Quadratic twists by: 101 |