Atkin-Lehner |
2- 3+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
6930v |
Isogeny class |
Conductor |
6930 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
deg |
14336 |
Modular degree for the optimal curve |
Δ |
149022720000 = 214 · 33 · 54 · 72 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11- -4 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-20927,1170279] |
[a1,a2,a3,a4,a6] |
Generators |
[147:-1194:1] |
Generators of the group modulo torsion |
j |
37537160298467283/5519360000 |
j-invariant |
L |
6.514328659669 |
L(r)(E,1)/r! |
Ω |
0.99390602979599 |
Real period |
R |
0.11704053905173 |
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 |
55440ce1 6930a1 34650d1 48510ce1 |
Quadratic twists by: -4 -3 5 -7 |