Atkin-Lehner |
2- 7+ 29+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
120176m |
Isogeny class |
Conductor |
120176 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-15496556757248 = -1 · 28 · 72 · 293 · 373 |
Discriminant |
Eigenvalues |
2- -1 0 7+ 3 -4 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9028,383660] |
[a1,a2,a3,a4,a6] |
Generators |
[13:518:1] |
Generators of the group modulo torsion |
j |
-317911693426000/60533424833 |
j-invariant |
L |
4.7556320564386 |
L(r)(E,1)/r! |
Ω |
0.670740247654 |
Real period |
R |
1.1816874459636 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000158774 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30044c2 |
Quadratic twists by: -4 |