Atkin-Lehner |
2+ 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
29120r |
Isogeny class |
Conductor |
29120 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
33918976000000 = 218 · 56 · 72 · 132 |
Discriminant |
Eigenvalues |
2+ 0 5- 7+ 0 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-18892,-959376] |
[a1,a2,a3,a4,a6] |
Generators |
[-67:75:1] |
Generators of the group modulo torsion |
j |
2844576388809/129390625 |
j-invariant |
L |
5.368769723429 |
L(r)(E,1)/r! |
Ω |
0.40836737211406 |
Real period |
R |
2.1911519259548 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
29120cl2 455a2 |
Quadratic twists by: -4 8 |