Atkin-Lehner |
2+ 3+ 5- 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
126480c |
Isogeny class |
Conductor |
126480 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
15997190400 = 28 · 32 · 52 · 172 · 312 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 0 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-660,2592] |
[a1,a2,a3,a4,a6] |
j |
124386546256/62489025 |
j-invariant |
L |
2.1935481468973 |
L(r)(E,1)/r! |
Ω |
1.0967738574736 |
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 |
63240r2 |
Quadratic twists by: -4 |