Atkin-Lehner |
2+ 3+ 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
6720j |
Isogeny class |
Conductor |
6720 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
120960000 = 210 · 33 · 54 · 7 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 4 6 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-285,-1683] |
[a1,a2,a3,a4,a6] |
j |
2508888064/118125 |
j-invariant |
L |
2.3300035412549 |
L(r)(E,1)/r! |
Ω |
1.1650017706274 |
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 |
6720cn1 840h1 20160bh1 33600db1 |
Quadratic twists by: -4 8 -3 5 |