Atkin-Lehner |
2- 3- 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
62400hz |
Isogeny class |
Conductor |
62400 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-25272000 = -1 · 26 · 35 · 53 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 -1 13- -1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-13,-247] |
[a1,a2,a3,a4,a6] |
Generators |
[8:15:1] |
Generators of the group modulo torsion |
j |
-32768/3159 |
j-invariant |
L |
8.1232529649357 |
L(r)(E,1)/r! |
Ω |
0.93868662157621 |
Real period |
R |
0.86538497281667 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999687 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62400bs1 15600bp1 62400fm1 |
Quadratic twists by: -4 8 5 |