Atkin-Lehner |
3- 7+ 17+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
65331i |
Isogeny class |
Conductor |
65331 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
51968 |
Modular degree for the optimal curve |
Δ |
47626299 = 38 · 7 · 17 · 61 |
Discriminant |
Eigenvalues |
-1 3- 1 7+ 0 4 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-10022,388658] |
[a1,a2,a3,a4,a6] |
Generators |
[58:-29:1] |
Generators of the group modulo torsion |
j |
152692868077849/65331 |
j-invariant |
L |
3.9449742865706 |
L(r)(E,1)/r! |
Ω |
1.6382473436917 |
Real period |
R |
1.2040227937329 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999985197 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21777g1 |
Quadratic twists by: -3 |