Atkin-Lehner |
2- 3+ 29+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
37062f |
Isogeny class |
Conductor |
37062 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
56927232 = 210 · 33 · 29 · 71 |
Discriminant |
Eigenvalues |
2- 3+ -2 -2 6 -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-161,-655] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:4:1] |
Generators of the group modulo torsion |
j |
16994415411/2108416 |
j-invariant |
L |
7.3045212515033 |
L(r)(E,1)/r! |
Ω |
1.3518413009942 |
Real period |
R |
1.0806773318925 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37062a1 |
Quadratic twists by: -3 |