Atkin-Lehner |
2- 3+ 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
76440ci |
Isogeny class |
Conductor |
76440 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
18331513759104000 = 210 · 3 · 53 · 710 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 4 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-66248800,-207524286500] |
[a1,a2,a3,a4,a6] |
Generators |
[16910:1872780:1] |
Generators of the group modulo torsion |
j |
266912903848829942596/152163375 |
j-invariant |
L |
6.842670729304 |
L(r)(E,1)/r! |
Ω |
0.052918198389868 |
Real period |
R |
2.6938868768523 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.000000000132 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10920o3 |
Quadratic twists by: -7 |