Atkin-Lehner |
2+ 3- 11+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
79992f |
Isogeny class |
Conductor |
79992 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
198144 |
Modular degree for the optimal curve |
Δ |
2280731904 = 28 · 36 · 112 · 101 |
Discriminant |
Eigenvalues |
2+ 3- 1 4 11+ -5 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-130692,18185348] |
[a1,a2,a3,a4,a6] |
Generators |
[208:-18:1] |
Generators of the group modulo torsion |
j |
1322827548642304/12221 |
j-invariant |
L |
8.064108532351 |
L(r)(E,1)/r! |
Ω |
1.0153638777862 |
Real period |
R |
0.49638045445813 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003493 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8888b1 |
Quadratic twists by: -3 |