Atkin-Lehner |
2+ 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
26400j |
Isogeny class |
Conductor |
26400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-705672000000 = -1 · 29 · 36 · 56 · 112 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 11- -4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2208,-56088] |
[a1,a2,a3,a4,a6] |
j |
-148877000/88209 |
j-invariant |
L |
0.6780224484042 |
L(r)(E,1)/r! |
Ω |
0.33901122420205 |
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 |
26400bv2 52800ci2 79200dm2 1056j2 |
Quadratic twists by: -4 8 -3 5 |