Atkin-Lehner |
2- 3+ 11+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
39468a |
Isogeny class |
Conductor |
39468 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
1404027685632 = 28 · 3 · 112 · 134 · 232 |
Discriminant |
Eigenvalues |
2- 3+ -2 -2 11+ 13- 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7844,263880] |
[a1,a2,a3,a4,a6] |
Generators |
[-98:286:1] [786:6578:27] |
Generators of the group modulo torsion |
j |
208521992966992/5484483147 |
j-invariant |
L |
6.6313796170076 |
L(r)(E,1)/r! |
Ω |
0.85121636895945 |
Real period |
R |
0.64920622797646 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
118404m2 |
Quadratic twists by: -3 |