Atkin-Lehner |
2- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
58b |
Isogeny class |
Conductor |
58 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-82044596 = -1 · 22 · 295 |
Discriminant |
Eigenvalues |
2- -1 1 -2 -3 -1 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-455,-3951] |
[a1,a2,a3,a4,a6] |
j |
-10418796526321/82044596 |
j-invariant |
L |
1.0332075093651 |
L(r)(E,1)/r! |
Ω |
0.51660375468255 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
464c2 1856a2 522f2 1450a2 |
Quadratic twists by: -4 8 -3 5 |