Atkin-Lehner |
2+ 3- 5+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
53040s |
Isogeny class |
Conductor |
53040 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
130560 |
Modular degree for the optimal curve |
Δ |
-243315214662000 = -1 · 24 · 3 · 53 · 134 · 175 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 3 13+ 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,64,-750465] |
[a1,a2,a3,a4,a6] |
Generators |
[33327:146523:343] |
Generators of the group modulo torsion |
j |
1783774976/15207200916375 |
j-invariant |
L |
7.7114083825678 |
L(r)(E,1)/r! |
Ω |
0.25496719888058 |
Real period |
R |
3.0244707618915 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000014 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26520l1 |
Quadratic twists by: -4 |