Atkin-Lehner |
2+ 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
33600t |
Isogeny class |
Conductor |
33600 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
20253807000000 = 26 · 310 · 56 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -2 -2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9408,-273438] |
[a1,a2,a3,a4,a6] |
j |
92100460096/20253807 |
j-invariant |
L |
1.4770494226916 |
L(r)(E,1)/r! |
Ω |
0.49234980756273 |
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 |
33600cf1 16800v2 100800ex1 1344h1 |
Quadratic twists by: -4 8 -3 5 |