Atkin-Lehner |
2+ 3+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
68544h |
Isogeny class |
Conductor |
68544 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-120222131904 = -1 · 26 · 33 · 72 · 175 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7+ 1 -5 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2778,58774] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:259:1] [29:51:1] |
Generators of the group modulo torsion |
j |
-1372071356928/69572993 |
j-invariant |
L |
9.5337254490832 |
L(r)(E,1)/r! |
Ω |
1.0358119473762 |
Real period |
R |
0.46020542016527 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999934 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68544s1 34272w1 68544a1 |
Quadratic twists by: -4 8 -3 |