Atkin-Lehner |
2- 3+ 5+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
93840bf |
Isogeny class |
Conductor |
93840 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-33814831104000 = -1 · 216 · 33 · 53 · 172 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 2 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7216,-363584] |
[a1,a2,a3,a4,a6] |
Generators |
[2858:152694:1] |
Generators of the group modulo torsion |
j |
-10146436022449/8255574000 |
j-invariant |
L |
5.8738653854406 |
L(r)(E,1)/r! |
Ω |
0.25031518728998 |
Real period |
R |
5.8664692413919 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999963923 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11730k1 |
Quadratic twists by: -4 |