Atkin-Lehner |
2+ 3- 13- 103- |
Signs for the Atkin-Lehner involutions |
Class |
24102r |
Isogeny class |
Conductor |
24102 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
391680 |
Modular degree for the optimal curve |
Δ |
1751417783451648 = 217 · 310 · 133 · 103 |
Discriminant |
Eigenvalues |
2+ 3- 2 -5 5 13- 7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-261081,-51241811] |
[a1,a2,a3,a4,a6] |
j |
2699746096571246737/2402493530112 |
j-invariant |
L |
1.2673019756522 |
L(r)(E,1)/r! |
Ω |
0.21121699594205 |
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 |
8034e1 |
Quadratic twists by: -3 |