Atkin-Lehner |
2+ 5+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
70720k |
Isogeny class |
Conductor |
70720 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
12310937600000000 = 223 · 58 · 13 · 172 |
Discriminant |
Eigenvalues |
2+ 2 5+ -2 0 13- 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-156161,-23092735] |
[a1,a2,a3,a4,a6] |
j |
1606587247762561/46962500000 |
j-invariant |
L |
1.9247413038699 |
L(r)(E,1)/r! |
Ω |
0.24059266032525 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70720bf2 2210f2 |
Quadratic twists by: -4 8 |