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 |
39398031987890625 = 34 · 58 · 72 · 714 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7+ -4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-13232625,-18533025000] |
[a1,a2,a3,a4,a6] |
Generators |
[-22464249932895269018:10965776197806005187:10691328237103592] |
Generators of the group modulo torsion |
j |
16399920883612419432721/2521474047225 |
j-invariant |
L |
3.9307050006699 |
L(r)(E,1)/r! |
Ω |
0.079156767931362 |
Real period |
R |
24.828609753733 |
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 |
111825p4 7455g3 |
Quadratic twists by: -3 5 |