Atkin-Lehner |
3- 5+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
103455p |
Isogeny class |
Conductor |
103455 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
-20124138193446375 = -1 · 314 · 53 · 116 · 19 |
Discriminant |
Eigenvalues |
1 3- 5+ -4 11- -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,24480,-6670229] |
[a1,a2,a3,a4,a6] |
j |
1256216039/15582375 |
j-invariant |
L |
0.75519523311507 |
L(r)(E,1)/r! |
Ω |
0.1887986646856 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34485i1 855a1 |
Quadratic twists by: -3 -11 |