Atkin-Lehner |
7- 29+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
44051g |
Isogeny class |
Conductor |
44051 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
10080 |
Modular degree for the optimal curve |
Δ |
105766451 = 76 · 29 · 31 |
Discriminant |
Eigenvalues |
1 2 -1 7- 0 -2 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-123,134] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:346:27] |
Generators of the group modulo torsion |
j |
1771561/899 |
j-invariant |
L |
8.9653233014046 |
L(r)(E,1)/r! |
Ω |
1.6636627790164 |
Real period |
R |
2.694453291401 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
899a1 |
Quadratic twists by: -7 |