Atkin-Lehner |
2- 3+ 7- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
37674m |
Isogeny class |
Conductor |
37674 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
-37827314644392 = -1 · 23 · 33 · 7 · 132 · 236 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 6 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-8990,444053] |
[a1,a2,a3,a4,a6] |
Generators |
[8394:79981:216] |
Generators of the group modulo torsion |
j |
-2975731436707875/1401011653496 |
j-invariant |
L |
9.8647576762151 |
L(r)(E,1)/r! |
Ω |
0.60572075300296 |
Real period |
R |
8.1429913267045 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
37674b4 |
Quadratic twists by: -3 |