Atkin-Lehner |
2- 5+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
15040w |
Isogeny class |
Conductor |
15040 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
3850240000000 = 220 · 57 · 47 |
Discriminant |
Eigenvalues |
2- -1 5+ 1 1 5 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6241,-162559] |
[a1,a2,a3,a4,a6] |
j |
102568953241/14687500 |
j-invariant |
L |
2.169026990519 |
L(r)(E,1)/r! |
Ω |
0.54225674762975 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15040e1 3760l1 75200cs1 |
Quadratic twists by: -4 8 5 |