Atkin-Lehner |
2+ 3- 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
85680cb |
Isogeny class |
Conductor |
85680 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
65536 |
Modular degree for the optimal curve |
Δ |
21424026960 = 24 · 38 · 5 · 74 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 0 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2442,45911] |
[a1,a2,a3,a4,a6] |
Generators |
[115:1134:1] |
Generators of the group modulo torsion |
j |
138074404864/1836765 |
j-invariant |
L |
7.8981874368187 |
L(r)(E,1)/r! |
Ω |
1.2134762100324 |
Real period |
R |
1.6271821753779 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999974 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42840w1 28560e1 |
Quadratic twists by: -4 -3 |