Atkin-Lehner |
2+ 3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
99960bi |
Isogeny class |
Conductor |
99960 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
31680 |
Modular degree for the optimal curve |
Δ |
-480007920 = -1 · 24 · 3 · 5 · 76 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -3 -4 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-16,1049] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:27:1] |
Generators of the group modulo torsion |
j |
-256/255 |
j-invariant |
L |
6.7219765439534 |
L(r)(E,1)/r! |
Ω |
1.339901253103 |
Real period |
R |
2.5083850481496 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008022 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2040d1 |
Quadratic twists by: -7 |