Atkin-Lehner |
2+ 3- 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
6930l |
Isogeny class |
Conductor |
6930 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
10103940 = 22 · 38 · 5 · 7 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 11+ 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-54,0] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:12:1] |
Generators of the group modulo torsion |
j |
24137569/13860 |
j-invariant |
L |
3.1881049025871 |
L(r)(E,1)/r! |
Ω |
1.9113605351675 |
Real period |
R |
0.83398836690633 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55440ew1 2310s1 34650dl1 48510s1 |
Quadratic twists by: -4 -3 5 -7 |