Atkin-Lehner |
2- 3+ 5- 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
15510m |
Isogeny class |
Conductor |
15510 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
16192 |
Modular degree for the optimal curve |
Δ |
-20148699780 = -1 · 22 · 311 · 5 · 112 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5- 3 11- 5 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-270,6927] |
[a1,a2,a3,a4,a6] |
j |
-2177286259681/20148699780 |
j-invariant |
L |
4.1551895186535 |
L(r)(E,1)/r! |
Ω |
1.0387973796634 |
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 |
124080cg1 46530h1 77550v1 |
Quadratic twists by: -4 -3 5 |