Atkin-Lehner |
2+ 5- 13- 89- |
Signs for the Atkin-Lehner involutions |
Class |
11570c |
Isogeny class |
Conductor |
11570 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
13312 |
Modular degree for the optimal curve |
Δ |
6016400 = 24 · 52 · 132 · 89 |
Discriminant |
Eigenvalues |
2+ -2 5- -2 0 13- -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-7833,266156] |
[a1,a2,a3,a4,a6] |
Generators |
[4675:317262:1] [2:499:1] |
Generators of the group modulo torsion |
j |
53140836723628681/6016400 |
j-invariant |
L |
3.656422333321 |
L(r)(E,1)/r! |
Ω |
1.849747483046 |
Real period |
R |
0.9883571587028 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999971 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92560p1 104130bo1 57850s1 |
Quadratic twists by: -4 -3 5 |