Atkin-Lehner |
2- 7- 19- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
28196b |
Isogeny class |
Conductor |
28196 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8832 |
Modular degree for the optimal curve |
Δ |
-789488 = -1 · 24 · 72 · 19 · 53 |
Discriminant |
Eigenvalues |
2- 3 -4 7- 1 4 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,23,5] |
[a1,a2,a3,a4,a6] |
j |
84098304/49343 |
j-invariant |
L |
3.4356447925187 |
L(r)(E,1)/r! |
Ω |
1.7178223962583 |
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 |
112784l1 |
Quadratic twists by: -4 |