Atkin-Lehner |
2- 5+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
25840p |
Isogeny class |
Conductor |
25840 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
297559528570880000 = 228 · 54 · 173 · 192 |
Discriminant |
Eigenvalues |
2- 0 5+ 2 -2 2 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1049483,412986682] |
[a1,a2,a3,a4,a6] |
j |
31209728336698362849/72646369280000 |
j-invariant |
L |
1.2316854149408 |
L(r)(E,1)/r! |
Ω |
0.30792135373526 |
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 |
3230d1 103360cj1 129200bu1 |
Quadratic twists by: -4 8 5 |