Atkin-Lehner |
2+ 3+ 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
62400bs |
Isogeny class |
Conductor |
62400 |
Conductor |
∏ cp |
2 |
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 |
[2:15:1] |
Generators of the group modulo torsion |
j |
-32768/3159 |
j-invariant |
L |
5.1759144978679 |
L(r)(E,1)/r! |
Ω |
1.7444239657131 |
Real period |
R |
1.4835597881344 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997837 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62400hz1 975j1 62400di1 |
Quadratic twists by: -4 8 5 |