Atkin-Lehner |
2- 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
35280ds |
Isogeny class |
Conductor |
35280 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-2017219165920000 = -1 · 28 · 37 · 54 · 78 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -2 1 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,8232,2141692] |
[a1,a2,a3,a4,a6] |
Generators |
[-34:1350:1] |
Generators of the group modulo torsion |
j |
57344/1875 |
j-invariant |
L |
5.3716420066449 |
L(r)(E,1)/r! |
Ω |
0.35130696816401 |
Real period |
R |
1.9113063835305 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8820i1 11760cl1 35280fm1 |
Quadratic twists by: -4 -3 -7 |