Atkin-Lehner |
3+ 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
1995a |
Isogeny class |
Conductor |
1995 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
303003411204375 = 312 · 54 · 7 · 194 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7- 0 2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-28816,-1698262] |
[a1,a2,a3,a4,a6] |
j |
2646218738827415809/303003411204375 |
j-invariant |
L |
0.73832597021971 |
L(r)(E,1)/r! |
Ω |
0.36916298510985 |
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 |
31920bo4 127680de4 5985q3 9975i3 |
Quadratic twists by: -4 8 -3 5 |