Atkin-Lehner |
2- 3- 5+ 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
38850cn |
Isogeny class |
Conductor |
38850 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
23712158203125000 = 23 · 3 · 518 · 7 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-836938,294542492] |
[a1,a2,a3,a4,a6] |
j |
4149383532674367961/1517578125000 |
j-invariant |
L |
4.4680401117074 |
L(r)(E,1)/r! |
Ω |
0.37233667597307 |
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 |
116550bo4 7770i4 |
Quadratic twists by: -3 5 |