Atkin-Lehner |
2+ 3+ 5+ 7+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
37170c |
Isogeny class |
Conductor |
37170 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-55951257600 = -1 · 212 · 33 · 52 · 73 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -4 2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,945,1901] |
[a1,a2,a3,a4,a6] |
Generators |
[13:121:1] |
Generators of the group modulo torsion |
j |
3454592606613/2072268800 |
j-invariant |
L |
3.1514205380648 |
L(r)(E,1)/r! |
Ω |
0.68382434112783 |
Real period |
R |
2.3042617442273 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37170x1 |
Quadratic twists by: -3 |