Atkin-Lehner |
2- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
4508a |
Isogeny class |
Conductor |
4508 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1152 |
Modular degree for the optimal curve |
Δ |
-2121446768 = -1 · 24 · 78 · 23 |
Discriminant |
Eigenvalues |
2- 1 0 7- -2 3 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,82,2225] |
[a1,a2,a3,a4,a6] |
Generators |
[2:49:1] |
Generators of the group modulo torsion |
j |
32000/1127 |
j-invariant |
L |
4.2481393419718 |
L(r)(E,1)/r! |
Ω |
1.1077118504626 |
Real period |
R |
0.63917635562558 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18032z1 72128d1 40572w1 112700p1 |
Quadratic twists by: -4 8 -3 5 |