Atkin-Lehner |
2- 3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
20700r |
Isogeny class |
Conductor |
20700 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-1385897343750000 = -1 · 24 · 36 · 510 · 233 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 6 1 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10425,-1837375] |
[a1,a2,a3,a4,a6] |
j |
-687518464/7604375 |
j-invariant |
L |
3.6792643665645 |
L(r)(E,1)/r! |
Ω |
0.20440357592025 |
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 |
82800do1 2300a1 4140f1 |
Quadratic twists by: -4 -3 5 |