Atkin-Lehner |
2+ 3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
6930f |
Isogeny class |
Conductor |
6930 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-384398503335000 = -1 · 23 · 37 · 54 · 74 · 114 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 11- 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-26640,1927800] |
[a1,a2,a3,a4,a6] |
Generators |
[15:1230:1] |
Generators of the group modulo torsion |
j |
-2868190647517441/527295615000 |
j-invariant |
L |
2.8343661707091 |
L(r)(E,1)/r! |
Ω |
0.51376376749955 |
Real period |
R |
0.34480416268255 |
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 |
55440dh3 2310v4 34650dq3 48510bv3 |
Quadratic twists by: -4 -3 5 -7 |