Atkin-Lehner |
2- 5+ 7- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
86450bj |
Isogeny class |
Conductor |
86450 |
Conductor |
∏ cp |
512 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
57691612160000000 = 216 · 57 · 74 · 13 · 192 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 0 13- -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-116755,-10082253] |
[a1,a2,a3,a4,a6] |
Generators |
[-261:1730:1] |
Generators of the group modulo torsion |
j |
11264882429818809/3692263178240 |
j-invariant |
L |
9.4679609707735 |
L(r)(E,1)/r! |
Ω |
0.26503345620412 |
Real period |
R |
1.1163638890469 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014908 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
17290b1 |
Quadratic twists by: 5 |