Atkin-Lehner |
2+ 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
6930q |
Isogeny class |
Conductor |
6930 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-56039583461400 = -1 · 23 · 39 · 52 · 76 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11- -4 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,6831,285525] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:477:1] |
Generators of the group modulo torsion |
j |
48351870250991/76871856600 |
j-invariant |
L |
3.3766826587998 |
L(r)(E,1)/r! |
Ω |
0.42799370292971 |
Real period |
R |
0.32873173091155 |
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 |
55440ed2 2310u2 34650dd2 48510bc2 |
Quadratic twists by: -4 -3 5 -7 |