Atkin-Lehner |
2- 5+ 11+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
67100b |
Isogeny class |
Conductor |
67100 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-167750000 = -1 · 24 · 56 · 11 · 61 |
Discriminant |
Eigenvalues |
2- 1 5+ -1 11+ -2 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-858,9413] |
[a1,a2,a3,a4,a6] |
Generators |
[13:25:1] |
Generators of the group modulo torsion |
j |
-279738112/671 |
j-invariant |
L |
6.5899383465421 |
L(r)(E,1)/r! |
Ω |
1.8165917368169 |
Real period |
R |
0.90690965583223 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999988543 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2684b1 |
Quadratic twists by: 5 |