Atkin-Lehner |
2+ 3+ 29- 61- |
Signs for the Atkin-Lehner involutions |
Class |
127368a |
Isogeny class |
Conductor |
127368 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
43776 |
Modular degree for the optimal curve |
Δ |
-1418370048 = -1 · 210 · 33 · 292 · 61 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -2 4 2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-171,2006] |
[a1,a2,a3,a4,a6] |
Generators |
[10:36:1] |
Generators of the group modulo torsion |
j |
-20000844/51301 |
j-invariant |
L |
6.4510119581194 |
L(r)(E,1)/r! |
Ω |
1.3403928573329 |
Real period |
R |
2.4063885199402 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999843873 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127368f1 |
Quadratic twists by: -3 |