Atkin-Lehner |
2+ 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
6930h |
Isogeny class |
Conductor |
6930 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
-2283094141020 = -1 · 22 · 36 · 5 · 76 · 113 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11- 2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-810,73440] |
[a1,a2,a3,a4,a6] |
j |
-80677568161/3131816380 |
j-invariant |
L |
1.3640416299134 |
L(r)(E,1)/r! |
Ω |
0.68202081495671 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
55440cp3 770g3 34650cz3 48510bw3 |
Quadratic twists by: -4 -3 5 -7 |