Atkin-Lehner |
2- 3- 5- 71- |
Signs for the Atkin-Lehner involutions |
Class |
25560o |
Isogeny class |
Conductor |
25560 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
143360 |
Modular degree for the optimal curve |
Δ |
-41924790000000000 = -1 · 210 · 310 · 510 · 71 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 -2 -2 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-57747,-11206114] |
[a1,a2,a3,a4,a6] |
Generators |
[427:6480:1] |
Generators of the group modulo torsion |
j |
-28528865980996/56162109375 |
j-invariant |
L |
4.9213964661321 |
L(r)(E,1)/r! |
Ω |
0.14477666816314 |
Real period |
R |
1.6996511000607 |
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 |
51120i1 8520c1 127800t1 |
Quadratic twists by: -4 -3 5 |