Atkin-Lehner |
2- 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
94192v |
Isogeny class |
Conductor |
94192 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
-68219097038848 = -1 · 214 · 7 · 296 |
Discriminant |
Eigenvalues |
2- -2 0 7+ 0 -4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7008,-459404] |
[a1,a2,a3,a4,a6] |
Generators |
[164:-1682:1] [15244:1882158:1] |
Generators of the group modulo torsion |
j |
-15625/28 |
j-invariant |
L |
7.3174866579219 |
L(r)(E,1)/r! |
Ω |
0.24613754400356 |
Real period |
R |
7.4323146107364 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999996284 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11774k1 112c1 |
Quadratic twists by: -4 29 |