Atkin-Lehner |
3- 5- 7+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
45045bh |
Isogeny class |
Conductor |
45045 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
89054269295506515 = 326 · 5 · 72 · 11 · 13 |
Discriminant |
Eigenvalues |
-1 3- 5- 7+ 11- 13- 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1692752,847993416] |
[a1,a2,a3,a4,a6] |
Generators |
[6102:237:8] |
Generators of the group modulo torsion |
j |
735827390583361804729/122159491489035 |
j-invariant |
L |
4.3781002548812 |
L(r)(E,1)/r! |
Ω |
0.32885765487621 |
Real period |
R |
6.6565278168064 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999423 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15015b3 |
Quadratic twists by: -3 |