Atkin-Lehner |
2- 3- 5- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
66300bn |
Isogeny class |
Conductor |
66300 |
Conductor |
∏ cp |
204 |
Product of Tamagawa factors cp |
deg |
274176 |
Modular degree for the optimal curve |
Δ |
-742039376598000 = -1 · 24 · 317 · 53 · 132 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 -3 13- 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,21822,-414927] |
[a1,a2,a3,a4,a6] |
Generators |
[618:-15795:1] |
Generators of the group modulo torsion |
j |
574589213531392/371019688299 |
j-invariant |
L |
6.8803675781265 |
L(r)(E,1)/r! |
Ω |
0.28961071656709 |
Real period |
R |
0.11645733435408 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993654 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
66300s1 |
Quadratic twists by: 5 |