Atkin-Lehner |
2- 5- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
15040bi |
Isogeny class |
Conductor |
15040 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
1440 |
Modular degree for the optimal curve |
Δ |
-376000 = -1 · 26 · 53 · 47 |
Discriminant |
Eigenvalues |
2- 2 5- 2 0 -3 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,15,-25] |
[a1,a2,a3,a4,a6] |
Generators |
[2:3:1] |
Generators of the group modulo torsion |
j |
5451776/5875 |
j-invariant |
L |
7.562974321067 |
L(r)(E,1)/r! |
Ω |
1.6295323024601 |
Real period |
R |
1.547064416305 |
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 |
15040t1 3760g1 75200db1 |
Quadratic twists by: -4 8 5 |