Atkin-Lehner |
2- 3+ 5- 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
37170y |
Isogeny class |
Conductor |
37170 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
1456730956800 = 210 · 39 · 52 · 72 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -4 4 -8 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-40367,3131191] |
[a1,a2,a3,a4,a6] |
Generators |
[131:-346:1] |
Generators of the group modulo torsion |
j |
369574295191947/74009600 |
j-invariant |
L |
9.961201548774 |
L(r)(E,1)/r! |
Ω |
0.82680403312792 |
Real period |
R |
0.60239193023095 |
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 |
37170e1 |
Quadratic twists by: -3 |