Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
69300cb |
Isogeny class |
Conductor |
69300 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
39293100000000 = 28 · 36 · 58 · 72 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10575,-290250] |
[a1,a2,a3,a4,a6] |
Generators |
[-65:350:1] |
Generators of the group modulo torsion |
j |
44851536/13475 |
j-invariant |
L |
6.2790423115592 |
L(r)(E,1)/r! |
Ω |
0.48173416832776 |
Real period |
R |
1.0861872799095 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000533 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7700g2 13860k2 |
Quadratic twists by: -3 5 |