Atkin-Lehner |
2+ 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
6930q |
Isogeny class |
Conductor |
6930 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
Δ |
-5932680982593750 = -1 · 2 · 37 · 56 · 72 · 116 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11- -4 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-218079,39427803] |
[a1,a2,a3,a4,a6] |
Generators |
[-333:8829:1] |
Generators of the group modulo torsion |
j |
-1573398910560073969/8138108343750 |
j-invariant |
L |
3.3766826587998 |
L(r)(E,1)/r! |
Ω |
0.42799370292971 |
Real period |
R |
0.98619519273465 |
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 |
55440ed4 2310u4 34650dd4 48510bc4 |
Quadratic twists by: -4 -3 5 -7 |