Atkin-Lehner |
2- 5+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
37570h |
Isogeny class |
Conductor |
37570 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
1133560584162500000 = 25 · 58 · 13 · 178 |
Discriminant |
Eigenvalues |
2- 2 5+ 2 0 13+ 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-705166,-222384341] |
[a1,a2,a3,a4,a6] |
j |
1606587247762561/46962500000 |
j-invariant |
L |
6.6018081346052 |
L(r)(E,1)/r! |
Ω |
0.16504520336581 |
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 |
2210f2 |
Quadratic twists by: 17 |