Atkin-Lehner |
2- 3+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
68208bv |
Isogeny class |
Conductor |
68208 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
24073808976 = 24 · 32 · 78 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 2 2 -8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4377,112680] |
[a1,a2,a3,a4,a6] |
j |
4927700992/12789 |
j-invariant |
L |
2.4029867595029 |
L(r)(E,1)/r! |
Ω |
1.2014933788645 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17052p1 9744w1 |
Quadratic twists by: -4 -7 |