Atkin-Lehner |
3- 7- 11- 71- |
Signs for the Atkin-Lehner involutions |
Class |
114807z |
Isogeny class |
Conductor |
114807 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
6434424514910046963 = 3 · 78 · 114 · 714 |
Discriminant |
Eigenvalues |
1 3- 2 7- 11- 2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-661085,167001209] |
[a1,a2,a3,a4,a6] |
Generators |
[910365:9281419:3375] |
Generators of the group modulo torsion |
j |
271585411170236857/54691705963587 |
j-invariant |
L |
12.445381878496 |
L(r)(E,1)/r! |
Ω |
0.22527928139551 |
Real period |
R |
6.9055295608831 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999850914 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16401c4 |
Quadratic twists by: -7 |