Atkin-Lehner |
2- 3- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
111012h |
Isogeny class |
Conductor |
111012 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
818496 |
Modular degree for the optimal curve |
Δ |
7659773075258832 = 24 · 3 · 11 · 299 |
Discriminant |
Eigenvalues |
2- 3- -2 2 11- -6 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-260149,50811320] |
[a1,a2,a3,a4,a6] |
Generators |
[799988021751997553644:-30268232201882514037197:507856348816613056] |
Generators of the group modulo torsion |
j |
8388608/33 |
j-invariant |
L |
7.2270922276221 |
L(r)(E,1)/r! |
Ω |
0.41873561184818 |
Real period |
R |
34.518641428105 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011539 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
111012b1 |
Quadratic twists by: 29 |