Atkin-Lehner |
2- 5- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
7540g |
Isogeny class |
Conductor |
7540 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
10145824000 = 28 · 53 · 13 · 293 |
Discriminant |
Eigenvalues |
2- 1 5- 5 0 13- -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1842885,-963546217] |
[a1,a2,a3,a4,a6] |
j |
2703825676414184390656/39632125 |
j-invariant |
L |
3.4985552792361 |
L(r)(E,1)/r! |
Ω |
0.12957612145319 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30160bc2 120640i2 67860p2 37700a2 |
Quadratic twists by: -4 8 -3 5 |