Atkin-Lehner |
3+ 5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
7245c |
Isogeny class |
Conductor |
7245 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-34877161142578125 = -1 · 39 · 510 · 73 · 232 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7+ -4 4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,8962,8977042] |
[a1,a2,a3,a4,a6] |
j |
4044759171237/1771943359375 |
j-invariant |
L |
0.57109456047423 |
L(r)(E,1)/r! |
Ω |
0.28554728023712 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
115920cg2 7245f2 36225d2 50715g2 |
Quadratic twists by: -4 -3 5 -7 |