Atkin-Lehner |
2+ 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
6930p |
Isogeny class |
Conductor |
6930 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
Δ |
46430323242187500 = 22 · 36 · 512 · 72 · 113 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11- -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-235044,42676308] |
[a1,a2,a3,a4,a6] |
Generators |
[22:6114:1] |
Generators of the group modulo torsion |
j |
1969902499564819009/63690429687500 |
j-invariant |
L |
3.3079669367259 |
L(r)(E,1)/r! |
Ω |
0.35666244349255 |
Real period |
R |
1.1593479342587 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
55440ec4 770f4 34650dc4 48510bb4 |
Quadratic twists by: -4 -3 5 -7 |