Atkin-Lehner |
3+ 5+ 7+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
37275a |
Isogeny class |
Conductor |
37275 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
775494886728515625 = 38 · 510 · 74 · 712 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7+ -4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-829500,-288028125] |
[a1,a2,a3,a4,a6] |
Generators |
[-230341946:-75482061:405224] |
Generators of the group modulo torsion |
j |
4039742424903030721/49631672750625 |
j-invariant |
L |
3.9307050006699 |
L(r)(E,1)/r! |
Ω |
0.15831353586272 |
Real period |
R |
12.414304876867 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
111825p2 7455g2 |
Quadratic twists by: -3 5 |