Atkin-Lehner |
2- 3+ 7+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
34608p |
Isogeny class |
Conductor |
34608 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
92022736232448 = 213 · 32 · 76 · 1032 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ -6 0 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-13312,373888] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:824:1] |
Generators of the group modulo torsion |
j |
63698076029953/22466488338 |
j-invariant |
L |
4.5597414636446 |
L(r)(E,1)/r! |
Ω |
0.55280591856145 |
Real period |
R |
1.0310448275207 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4326m2 103824bx2 |
Quadratic twists by: -4 -3 |