Atkin-Lehner |
2- 3- 23- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
51888w |
Isogeny class |
Conductor |
51888 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
-24053928542208 = -1 · 214 · 310 · 232 · 47 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 -2 -4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,5696,-166348] |
[a1,a2,a3,a4,a6] |
Generators |
[28:126:1] [44:414:1] |
Generators of the group modulo torsion |
j |
4988815677503/5872541148 |
j-invariant |
L |
9.0203801368822 |
L(r)(E,1)/r! |
Ω |
0.36209558368282 |
Real period |
R |
1.2455799716112 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999979 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6486n1 |
Quadratic twists by: -4 |