Atkin-Lehner |
2+ 3+ 7+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
26544a |
Isogeny class |
Conductor |
26544 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
103203072 = 28 · 36 · 7 · 79 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7+ 0 -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-148,544] |
[a1,a2,a3,a4,a6] |
Generators |
[20:72:1] |
Generators of the group modulo torsion |
j |
1409938000/403137 |
j-invariant |
L |
4.246709177326 |
L(r)(E,1)/r! |
Ω |
1.7557833648364 |
Real period |
R |
2.4186976949298 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13272g1 106176bu1 79632c1 |
Quadratic twists by: -4 8 -3 |