Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
37440ea |
Isogeny class |
Conductor |
37440 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-227448000 = -1 · 26 · 37 · 53 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 5 1 13+ -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,42,718] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:9:1] |
Generators of the group modulo torsion |
j |
175616/4875 |
j-invariant |
L |
6.851219534781 |
L(r)(E,1)/r! |
Ω |
1.3285596477152 |
Real period |
R |
1.2892194088845 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37440eb1 18720bs1 12480da1 |
Quadratic twists by: -4 8 -3 |