Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
35280fk |
Isogeny class |
Conductor |
35280 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
42195431250000 = 24 · 39 · 58 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 2 4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13692,-531601] |
[a1,a2,a3,a4,a6] |
Generators |
[-47:90:1] |
Generators of the group modulo torsion |
j |
70954958848/10546875 |
j-invariant |
L |
6.9509666709778 |
L(r)(E,1)/r! |
Ω |
0.44574112925681 |
Real period |
R |
1.9492722947082 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8820z1 11760bp1 35280ee1 |
Quadratic twists by: -4 -3 -7 |