Atkin-Lehner |
2+ 3- 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
27600v |
Isogeny class |
Conductor |
27600 |
Conductor |
∏ cp |
52 |
Product of Tamagawa factors cp |
deg |
13777920 |
Modular degree for the optimal curve |
Δ |
3.0926881533279E+26 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 3 -5 -3 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-488135208,4063744743588] |
[a1,a2,a3,a4,a6] |
j |
1286305460227974664900/30926881533278943 |
j-invariant |
L |
2.8264815027733 |
L(r)(E,1)/r! |
Ω |
0.054355413514882 |
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 |
13800g1 110400fu1 82800bl1 27600r1 |
Quadratic twists by: -4 8 -3 5 |