Atkin-Lehner |
2+ 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
28880c |
Isogeny class |
Conductor |
28880 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
340480 |
Modular degree for the optimal curve |
Δ |
-413040253157120000 = -1 · 211 · 54 · 199 |
Discriminant |
Eigenvalues |
2+ 1 5- -1 -2 1 -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-592160,-178293100] |
[a1,a2,a3,a4,a6] |
j |
-34747958/625 |
j-invariant |
L |
1.3753596208554 |
L(r)(E,1)/r! |
Ω |
0.085959976303384 |
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 |
14440g1 115520bm1 28880e1 |
Quadratic twists by: -4 8 -19 |