Atkin-Lehner |
2+ 5- 47- |
Signs for the Atkin-Lehner involutions |
Class |
15040o |
Isogeny class |
Conductor |
15040 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1088 |
Modular degree for the optimal curve |
Δ |
-15040 = -1 · 26 · 5 · 47 |
Discriminant |
Eigenvalues |
2+ 0 5- 4 2 3 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2,6] |
[a1,a2,a3,a4,a6] |
Generators |
[5:11:1] |
Generators of the group modulo torsion |
j |
-13824/235 |
j-invariant |
L |
6.0158368290734 |
L(r)(E,1)/r! |
Ω |
3.323799589838 |
Real period |
R |
1.8099276645517 |
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 |
15040h1 7520f1 75200a1 |
Quadratic twists by: -4 8 5 |