Atkin-Lehner |
2+ 5+ 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
47840b |
Isogeny class |
Conductor |
47840 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-9313108480 = -1 · 29 · 5 · 13 · 234 |
Discriminant |
Eigenvalues |
2+ 0 5+ 4 0 13- -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,517,1042] |
[a1,a2,a3,a4,a6] |
j |
29848697208/18189665 |
j-invariant |
L |
1.596104657178 |
L(r)(E,1)/r! |
Ω |
0.79805232829599 |
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 |
47840e2 95680o3 |
Quadratic twists by: -4 8 |