Atkin-Lehner |
3+ 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
15609b |
Isogeny class |
Conductor |
15609 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
116160 |
Modular degree for the optimal curve |
Δ |
-17961244463555811 = -1 · 311 · 119 · 43 |
Discriminant |
Eigenvalues |
-1 3+ -3 -1 11+ -2 7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-36242,6958370] |
[a1,a2,a3,a4,a6] |
j |
-2232681443/7617321 |
j-invariant |
L |
0.68040224363478 |
L(r)(E,1)/r! |
Ω |
0.34020112181739 |
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 |
46827l1 15609a1 |
Quadratic twists by: -3 -11 |