Atkin-Lehner |
2+ 3- 5- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
28710q |
Isogeny class |
Conductor |
28710 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-475248200130 = -1 · 2 · 311 · 5 · 11 · 293 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 11- -4 7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1926,5998] |
[a1,a2,a3,a4,a6] |
j |
1083523132511/651917970 |
j-invariant |
L |
2.2910208886966 |
L(r)(E,1)/r! |
Ω |
0.57275522217426 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9570q1 |
Quadratic twists by: -3 |