Atkin-Lehner |
2- 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
26400bk |
Isogeny class |
Conductor |
26400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
506880 |
Modular degree for the optimal curve |
Δ |
-592659434188800 = -1 · 212 · 33 · 52 · 118 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 3 11- -1 -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8720493,-9909056763] |
[a1,a2,a3,a4,a6] |
Generators |
[23371:3542748:1] |
Generators of the group modulo torsion |
j |
-716220782494793351680/5787689787 |
j-invariant |
L |
4.9140720849011 |
L(r)(E,1)/r! |
Ω |
0.04392727826454 |
Real period |
R |
6.9917717973948 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26400bx1 52800gj1 79200ba1 26400bc1 |
Quadratic twists by: -4 8 -3 5 |