Atkin-Lehner |
2+ 3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
6930g |
Isogeny class |
Conductor |
6930 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-66726332027488980 = -1 · 22 · 314 · 5 · 78 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 11- -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,79695,8894785] |
[a1,a2,a3,a4,a6] |
Generators |
[83:3968:1] |
Generators of the group modulo torsion |
j |
76786760064334319/91531319653620 |
j-invariant |
L |
2.7268656790033 |
L(r)(E,1)/r! |
Ω |
0.23258655387407 |
Real period |
R |
1.46551124387 |
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 |
55440dl5 2310n6 34650dn5 48510bu5 |
Quadratic twists by: -4 -3 5 -7 |