Atkin-Lehner |
2- 3- 5+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
123600ch |
Isogeny class |
Conductor |
123600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
580608 |
Modular degree for the optimal curve |
Δ |
-5062656000000 = -1 · 220 · 3 · 56 · 103 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 2 -3 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-593608,175836788] |
[a1,a2,a3,a4,a6] |
j |
-361446235206337/79104 |
j-invariant |
L |
1.2177572699083 |
L(r)(E,1)/r! |
Ω |
0.60887836789649 |
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 |
15450c1 4944e1 |
Quadratic twists by: -4 5 |