Atkin-Lehner |
2- 3- 5+ 11+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
66330bj |
Isogeny class |
Conductor |
66330 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
84672 |
Modular degree for the optimal curve |
Δ |
-575956656000 = -1 · 27 · 36 · 53 · 11 · 672 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 11+ 4 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,97,36487] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:146:1] |
Generators of the group modulo torsion |
j |
139798359/790064000 |
j-invariant |
L |
9.3194996386931 |
L(r)(E,1)/r! |
Ω |
0.72370788372661 |
Real period |
R |
0.9198166284944 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999505 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7370b1 |
Quadratic twists by: -3 |