Atkin-Lehner |
2- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
94192bh |
Isogeny class |
Conductor |
94192 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
-1514677138940672 = -1 · 28 · 73 · 297 |
Discriminant |
Eigenvalues |
2- 3 0 7- 2 0 -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-33640,3024236] |
[a1,a2,a3,a4,a6] |
Generators |
[-4002:58870:27] |
Generators of the group modulo torsion |
j |
-27648000/9947 |
j-invariant |
L |
13.603427173199 |
L(r)(E,1)/r! |
Ω |
0.44923990952079 |
Real period |
R |
2.523415454468 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005745 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23548a1 3248m1 |
Quadratic twists by: -4 29 |