Atkin-Lehner |
2+ 5- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
114400p |
Isogeny class |
Conductor |
114400 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
3892119517000000000 = 29 · 59 · 116 · 133 |
Discriminant |
Eigenvalues |
2+ 0 5- 0 11- 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2873875,1872806250] |
[a1,a2,a3,a4,a6] |
Generators |
[-636650:9776250:343] |
Generators of the group modulo torsion |
j |
2624988079066536/3892119517 |
j-invariant |
L |
5.5281601613543 |
L(r)(E,1)/r! |
Ω |
0.2476914527573 |
Real period |
R |
7.4395786501916 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000054358 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114400k2 114400bk2 |
Quadratic twists by: -4 5 |