Atkin-Lehner |
2+ 3+ 5+ 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
77910g |
Isogeny class |
Conductor |
77910 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6451200 |
Modular degree for the optimal curve |
Δ |
4.6763578148191E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -4 -4 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-7141628,6564907728] |
[a1,a2,a3,a4,a6] |
j |
342394863219497382841/39748385577600000 |
j-invariant |
L |
0.26561427169498 |
L(r)(E,1)/r! |
Ω |
0.13280711534995 |
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 |
11130p1 |
Quadratic twists by: -7 |