Atkin-Lehner |
2+ 11- 101- |
Signs for the Atkin-Lehner involutions |
Class |
97768b |
Isogeny class |
Conductor |
97768 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
990720 |
Modular degree for the optimal curve |
Δ |
5542463227136 = 28 · 118 · 101 |
Discriminant |
Eigenvalues |
2+ 2 -1 -4 11- 5 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1757081,897055997] |
[a1,a2,a3,a4,a6] |
Generators |
[20667:242:27] |
Generators of the group modulo torsion |
j |
1322827548642304/12221 |
j-invariant |
L |
7.8554814506184 |
L(r)(E,1)/r! |
Ω |
0.53025649136133 |
Real period |
R |
1.8518117096481 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015352 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8888b1 |
Quadratic twists by: -11 |