Atkin-Lehner |
3- 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
106575cf |
Isogeny class |
Conductor |
106575 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
7516600170753515625 = 34 · 58 · 710 · 292 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 0 -2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1638463,-796527208] |
[a1,a2,a3,a4,a6] |
Generators |
[-793:2459:1] [-5594:24547:8] |
Generators of the group modulo torsion |
j |
264621653112601/4088963025 |
j-invariant |
L |
8.9609965251351 |
L(r)(E,1)/r! |
Ω |
0.13356634350198 |
Real period |
R |
8.3862785806929 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000266 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
21315b2 15225e2 |
Quadratic twists by: 5 -7 |