Atkin-Lehner |
2- 5+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
37570i |
Isogeny class |
Conductor |
37570 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
332928 |
Modular degree for the optimal curve |
Δ |
-15938768661792080 = -1 · 24 · 5 · 134 · 178 |
Discriminant |
Eigenvalues |
2- 1 5+ -3 2 13+ 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-330911,73491881] |
[a1,a2,a3,a4,a6] |
Generators |
[428:2997:1] |
Generators of the group modulo torsion |
j |
-574468255729/2284880 |
j-invariant |
L |
8.2752305893207 |
L(r)(E,1)/r! |
Ω |
0.39394301484105 |
Real period |
R |
2.6257701867931 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37570n1 |
Quadratic twists by: 17 |