Atkin-Lehner |
2- 3- 5+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
123600cd |
Isogeny class |
Conductor |
123600 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
-312862500000000 = -1 · 28 · 35 · 511 · 103 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 2 -2 7 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-24908,1727688] |
[a1,a2,a3,a4,a6] |
j |
-427265402704/78215625 |
j-invariant |
L |
5.2271702213383 |
L(r)(E,1)/r! |
Ω |
0.52271709206337 |
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 |
30900a1 24720h1 |
Quadratic twists by: -4 5 |