Atkin-Lehner |
3- 5+ 11+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
68475c |
Isogeny class |
Conductor |
68475 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-124577295046875 = -1 · 38 · 56 · 114 · 83 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 11+ 6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,5962,-506433] |
[a1,a2,a3,a4,a6] |
j |
1499944011623/7972946883 |
j-invariant |
L |
2.3599114499132 |
L(r)(E,1)/r! |
Ω |
0.29498893165571 |
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 |
2739c4 |
Quadratic twists by: 5 |