Atkin-Lehner |
2- 13+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
37024d |
Isogeny class |
Conductor |
37024 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-5483106304 = -1 · 212 · 132 · 892 |
Discriminant |
Eigenvalues |
2- -2 2 -4 2 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1537,-23985] |
[a1,a2,a3,a4,a6] |
Generators |
[370:7085:1] |
Generators of the group modulo torsion |
j |
-98099748928/1338649 |
j-invariant |
L |
3.574007839793 |
L(r)(E,1)/r! |
Ω |
0.38091230519993 |
Real period |
R |
4.691378817386 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37024b2 74048n1 |
Quadratic twists by: -4 8 |