Atkin-Lehner |
2- 3- 5+ 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
99120cm |
Isogeny class |
Conductor |
99120 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
3536918784000000 = 214 · 34 · 56 · 72 · 592 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 4 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-44856,2261844] |
[a1,a2,a3,a4,a6] |
j |
2436885228142009/863505562500 |
j-invariant |
L |
3.2617498744251 |
L(r)(E,1)/r! |
Ω |
0.40771873538637 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
12390c2 |
Quadratic twists by: -4 |