Atkin-Lehner |
2- 5- 13- 73- |
Signs for the Atkin-Lehner involutions |
Class |
75920s |
Isogeny class |
Conductor |
75920 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
310968320 = 216 · 5 · 13 · 73 |
Discriminant |
Eigenvalues |
2- -2 5- -2 -4 13- -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1560,23188] |
[a1,a2,a3,a4,a6] |
Generators |
[-42:128:1] |
Generators of the group modulo torsion |
j |
102568953241/75920 |
j-invariant |
L |
3.590303207708 |
L(r)(E,1)/r! |
Ω |
1.7066347563119 |
Real period |
R |
2.1037326201803 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000337 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9490e1 |
Quadratic twists by: -4 |