Atkin-Lehner |
2+ 3+ 11- 89- |
Signs for the Atkin-Lehner involutions |
Class |
64614d |
Isogeny class |
Conductor |
64614 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
2996971002432 = 26 · 33 · 117 · 89 |
Discriminant |
Eigenvalues |
2+ 3+ 0 0 11- -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-66310,-6599468] |
[a1,a2,a3,a4,a6] |
Generators |
[336456:7666223:512] |
Generators of the group modulo torsion |
j |
18201824322625/1691712 |
j-invariant |
L |
3.2283907458368 |
L(r)(E,1)/r! |
Ω |
0.29751328749966 |
Real period |
R |
10.851248941123 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996468 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5874e1 |
Quadratic twists by: -11 |