Atkin-Lehner |
2- 3+ 5+ 11+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
124080be |
Isogeny class |
Conductor |
124080 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-22393958400 = -1 · 212 · 32 · 52 · 11 · 472 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 11+ 6 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,704,-704] |
[a1,a2,a3,a4,a6] |
Generators |
[16:-120:1] |
Generators of the group modulo torsion |
j |
9407293631/5467275 |
j-invariant |
L |
4.7872755407097 |
L(r)(E,1)/r! |
Ω |
0.71356323349278 |
Real period |
R |
0.8386214704648 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999072102 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7755f2 |
Quadratic twists by: -4 |