Atkin-Lehner |
2- 3- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
6930w |
Isogeny class |
Conductor |
6930 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2455818750000 = 24 · 36 · 58 · 72 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11+ 0 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-7628,-243169] |
[a1,a2,a3,a4,a6] |
Generators |
[-57:91:1] |
Generators of the group modulo torsion |
j |
67324767141241/3368750000 |
j-invariant |
L |
5.5971462313627 |
L(r)(E,1)/r! |
Ω |
0.51244654543556 |
Real period |
R |
1.3653000203673 |
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 |
55440dp2 770d2 34650x2 48510ds2 |
Quadratic twists by: -4 -3 5 -7 |