Atkin-Lehner |
2- 5- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
15040be |
Isogeny class |
Conductor |
15040 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
5315737600000 = 214 · 55 · 473 |
Discriminant |
Eigenvalues |
2- 1 5- 1 3 7 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-28305,-1839025] |
[a1,a2,a3,a4,a6] |
Generators |
[-95:40:1] |
Generators of the group modulo torsion |
j |
153076524671824/324446875 |
j-invariant |
L |
6.6635755422908 |
L(r)(E,1)/r! |
Ω |
0.36811862395481 |
Real period |
R |
1.8101707190747 |
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 |
15040s1 3760f1 75200cx1 |
Quadratic twists by: -4 8 5 |