Atkin-Lehner |
2+ 3- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
4368k |
Isogeny class |
Conductor |
4368 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
12797733521664 = 28 · 36 · 74 · 134 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 4 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-11284,424316] |
[a1,a2,a3,a4,a6] |
Generators |
[-70:936:1] |
Generators of the group modulo torsion |
j |
620742479063632/49991146569 |
j-invariant |
L |
3.9019988077212 |
L(r)(E,1)/r! |
Ω |
0.69383628027276 |
Real period |
R |
0.93730056082472 |
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 |
2184j2 17472br2 13104w2 109200q2 |
Quadratic twists by: -4 8 -3 5 |