Atkin-Lehner |
2- 3+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
3504p |
Isogeny class |
Conductor |
3504 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-5939237411094528 = -1 · 221 · 312 · 732 |
Discriminant |
Eigenvalues |
2- 3+ 0 -2 0 -4 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,25952,3331840] |
[a1,a2,a3,a4,a6] |
Generators |
[1730:72270:1] |
Generators of the group modulo torsion |
j |
471910376801375/1450009133568 |
j-invariant |
L |
2.8091647434077 |
L(r)(E,1)/r! |
Ω |
0.30028281284419 |
Real period |
R |
4.6775316855469 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
438a2 14016bz2 10512s2 87600cb2 |
Quadratic twists by: -4 8 -3 5 |