Atkin-Lehner |
2+ 11+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
37312h |
Isogeny class |
Conductor |
37312 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-1237920694101082112 = -1 · 236 · 112 · 533 |
Discriminant |
Eigenvalues |
2+ -1 0 2 11+ -5 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,173407,-45807839] |
[a1,a2,a3,a4,a6] |
j |
2199789679916375/4722292686848 |
j-invariant |
L |
1.7012827098413 |
L(r)(E,1)/r! |
Ω |
0.14177355915333 |
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 |
37312bg2 1166c2 |
Quadratic twists by: -4 8 |