Atkin-Lehner |
11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
64009d |
Isogeny class |
Conductor |
64009 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-2884800683080019 = -1 · 117 · 236 |
Discriminant |
Eigenvalues |
2 -1 -1 -2 11- -4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-500571716,-4310530907475] |
[a1,a2,a3,a4,a6] |
Generators |
[540842727044067323696588462548943151417493851802286070650703150:-791344285741232572924473345820317087084038540483362583326940002475:252600509768960973594841771689911643187460095788142651992] |
Generators of the group modulo torsion |
j |
-52893159101157376/11 |
j-invariant |
L |
6.2665122066808 |
L(r)(E,1)/r! |
Ω |
0.015958901059126 |
Real period |
R |
98.16641170128 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5819a3 121d3 |
Quadratic twists by: -11 -23 |