Atkin-Lehner |
3+ 5+ 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
75075q |
Isogeny class |
Conductor |
75075 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
262540309672265625 = 34 · 58 · 74 · 112 · 134 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7- 11+ 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3795500,2844421875] |
[a1,a2,a3,a4,a6] |
j |
386999899451621426881/16802579819025 |
j-invariant |
L |
2.3346617869637 |
L(r)(E,1)/r! |
Ω |
0.29183272002079 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
15015u2 |
Quadratic twists by: 5 |