Atkin-Lehner |
2- 3- 5+ 23+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
122130bq |
Isogeny class |
Conductor |
122130 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
229376 |
Modular degree for the optimal curve |
Δ |
-583659270000 = -1 · 24 · 36 · 54 · 23 · 592 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -4 6 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1987,-14219] |
[a1,a2,a3,a4,a6] |
Generators |
[13:110:1] [25:-238:1] |
Generators of the group modulo torsion |
j |
1190678951799/800630000 |
j-invariant |
L |
15.932495496656 |
L(r)(E,1)/r! |
Ω |
0.52167378168488 |
Real period |
R |
1.9088192727982 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999994718 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13570b1 |
Quadratic twists by: -3 |