Atkin-Lehner |
2- 3- 11- 89- |
Signs for the Atkin-Lehner involutions |
Class |
64614r |
Isogeny class |
Conductor |
64614 |
Conductor |
∏ cp |
264 |
Product of Tamagawa factors cp |
deg |
1300992 |
Modular degree for the optimal curve |
Δ |
-865177576866079488 = -1 · 28 · 311 · 118 · 89 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 11- 4 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,120816,-41720832] |
[a1,a2,a3,a4,a6] |
Generators |
[252:2052:1] |
Generators of the group modulo torsion |
j |
909819760223/4036117248 |
j-invariant |
L |
10.320333578762 |
L(r)(E,1)/r! |
Ω |
0.14196860561702 |
Real period |
R |
0.27535786856875 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000114 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64614h1 |
Quadratic twists by: -11 |