Atkin-Lehner |
2+ 3+ 5+ 7+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
37170b |
Isogeny class |
Conductor |
37170 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
6970685242500 = 22 · 39 · 54 · 74 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -4 0 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-19860,1074716] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:1236:1] |
Generators of the group modulo torsion |
j |
44013150079443/354147500 |
j-invariant |
L |
3.2246098861852 |
L(r)(E,1)/r! |
Ω |
0.7507932121567 |
Real period |
R |
1.0737343631947 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37170w1 |
Quadratic twists by: -3 |