Atkin-Lehner |
2+ 3- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
26928h |
Isogeny class |
Conductor |
26928 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-20746327751424 = -1 · 28 · 36 · 113 · 174 |
Discriminant |
Eigenvalues |
2+ 3- -1 2 11+ -4 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-20388,1141724] |
[a1,a2,a3,a4,a6] |
j |
-5022039141376/111166451 |
j-invariant |
L |
1.3633939737333 |
L(r)(E,1)/r! |
Ω |
0.68169698686685 |
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 |
13464h1 107712eh1 2992e1 |
Quadratic twists by: -4 8 -3 |