Atkin-Lehner |
2+ 3+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
6930a |
Isogeny class |
Conductor |
6930 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
108637562880000 = 214 · 39 · 54 · 72 · 11 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 11+ -4 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-188340,-31409200] |
[a1,a2,a3,a4,a6] |
j |
37537160298467283/5519360000 |
j-invariant |
L |
0.91670083766311 |
L(r)(E,1)/r! |
Ω |
0.22917520941578 |
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 |
55440bz1 6930v1 34650cm1 48510j1 |
Quadratic twists by: -4 -3 5 -7 |