Atkin-Lehner |
2+ 3+ 5+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
37050i |
Isogeny class |
Conductor |
37050 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-610565185546875000 = -1 · 23 · 34 · 518 · 13 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -4 13- -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,190225,-19759875] |
[a1,a2,a3,a4,a6] |
j |
48719508367621391/39076171875000 |
j-invariant |
L |
1.2850532002841 |
L(r)(E,1)/r! |
Ω |
0.16063165003787 |
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 |
111150en3 7410s4 |
Quadratic twists by: -3 5 |