Atkin-Lehner |
2+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
94864t |
Isogeny class |
Conductor |
94864 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
106945594448 = 24 · 73 · 117 |
Discriminant |
Eigenvalues |
2+ 2 0 7- 11- -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2823,56498] |
[a1,a2,a3,a4,a6] |
Generators |
[1946310:46506592:3375] |
Generators of the group modulo torsion |
j |
256000/11 |
j-invariant |
L |
9.8295280098635 |
L(r)(E,1)/r! |
Ω |
1.0474703935621 |
Real period |
R |
9.3840628358006 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000018349 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47432k1 94864x1 8624h1 |
Quadratic twists by: -4 -7 -11 |