Atkin-Lehner |
2- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
28880q |
Isogeny class |
Conductor |
28880 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
344736 |
Modular degree for the optimal curve |
Δ |
8695584276992000 = 212 · 53 · 198 |
Discriminant |
Eigenvalues |
2- 2 5+ 4 -3 2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-585301,-172098915] |
[a1,a2,a3,a4,a6] |
j |
318767104/125 |
j-invariant |
L |
4.3152395117521 |
L(r)(E,1)/r! |
Ω |
0.17260958047014 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1805a1 115520cn1 28880z1 |
Quadratic twists by: -4 8 -19 |