Atkin-Lehner |
2+ 3+ 5- 17+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
31110a |
Isogeny class |
Conductor |
31110 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
160000 |
Modular degree for the optimal curve |
Δ |
-593134644303270 = -1 · 2 · 35 · 5 · 172 · 615 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -3 0 -5 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-27772,2120686] |
[a1,a2,a3,a4,a6] |
j |
-2369024847264970441/593134644303270 |
j-invariant |
L |
0.98233867460927 |
L(r)(E,1)/r! |
Ω |
0.49116933730496 |
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 |
93330bk1 |
Quadratic twists by: -3 |