Atkin-Lehner |
2- 5- 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
80080bu |
Isogeny class |
Conductor |
80080 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
11275264000000 = 216 · 56 · 7 · 112 · 13 |
Discriminant |
Eigenvalues |
2- 0 5- 7- 11+ 13- -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-123787,-16762566] |
[a1,a2,a3,a4,a6] |
Generators |
[1023:30450:1] |
Generators of the group modulo torsion |
j |
51214021297318881/2752750000 |
j-invariant |
L |
6.524856111745 |
L(r)(E,1)/r! |
Ω |
0.25452602546454 |
Real period |
R |
4.2725533317687 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004633 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10010u2 |
Quadratic twists by: -4 |