Atkin-Lehner |
2+ 3+ 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
26400m |
Isogeny class |
Conductor |
26400 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2534400 |
Modular degree for the optimal curve |
Δ |
-9.2603036592E+18 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 3 11+ 1 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-218012333,1239068120037] |
[a1,a2,a3,a4,a6] |
j |
-716220782494793351680/5787689787 |
j-invariant |
L |
1.9165820843334 |
L(r)(E,1)/r! |
Ω |
0.15971517369447 |
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 |
26400bc1 52800hv1 79200ep1 26400bx1 |
Quadratic twists by: -4 8 -3 5 |