Atkin-Lehner |
2- 7- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
113344eo |
Isogeny class |
Conductor |
113344 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-89928036352 = -1 · 212 · 73 · 112 · 232 |
Discriminant |
Eigenvalues |
2- -2 2 7- 11- -2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-217,-14553] |
[a1,a2,a3,a4,a6] |
Generators |
[49:308:1] |
Generators of the group modulo torsion |
j |
-277167808/21955087 |
j-invariant |
L |
5.7138728834417 |
L(r)(E,1)/r! |
Ω |
0.47370342311946 |
Real period |
R |
1.0051776098311 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999790013 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
113344cn1 56672n1 |
Quadratic twists by: -4 8 |