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 |
62240270400 = 26 · 38 · 52 · 72 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 11- 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-27720,1783296] |
[a1,a2,a3,a4,a6] |
Generators |
[72:360:1] |
Generators of the group modulo torsion |
j |
3231355012744321/85377600 |
j-invariant |
L |
2.8343661707091 |
L(r)(E,1)/r! |
Ω |
1.0275275349991 |
Real period |
R |
0.6896083253651 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
55440dh2 2310v2 34650dq2 48510bv2 |
Quadratic twists by: -4 -3 5 -7 |