Atkin-Lehner |
2- 3- 5+ 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
72150cm |
Isogeny class |
Conductor |
72150 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
7034625000000 = 26 · 32 · 59 · 132 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 0 13- 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-20813,-1150383] |
[a1,a2,a3,a4,a6] |
j |
63812982460681/450216000 |
j-invariant |
L |
4.7717940479638 |
L(r)(E,1)/r! |
Ω |
0.39764950363491 |
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 |
14430k1 |
Quadratic twists by: 5 |