Atkin-Lehner |
2- 3- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
39900s |
Isogeny class |
Conductor |
39900 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-406294218750000 = -1 · 24 · 3 · 510 · 74 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -6 -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,7867,934488] |
[a1,a2,a3,a4,a6] |
j |
215355490304/1625176875 |
j-invariant |
L |
1.5520014354658 |
L(r)(E,1)/r! |
Ω |
0.38800035886769 |
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 |
119700bg1 7980a1 |
Quadratic twists by: -3 5 |