Atkin-Lehner |
3+ 17- 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
66861f |
Isogeny class |
Conductor |
66861 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
1031040 |
Modular degree for the optimal curve |
Δ |
232044317383293 = 39 · 175 · 192 · 23 |
Discriminant |
Eigenvalues |
2 3+ 2 1 -6 5 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1305369,-574047331] |
[a1,a2,a3,a4,a6] |
Generators |
[-1811026:39003:2744] |
Generators of the group modulo torsion |
j |
12497763558620860416/11789072671 |
j-invariant |
L |
15.029934158633 |
L(r)(E,1)/r! |
Ω |
0.14124277954782 |
Real period |
R |
5.3206026555334 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999928 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
66861c1 |
Quadratic twists by: -3 |