Atkin-Lehner |
2+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
12152a |
Isogeny class |
Conductor |
12152 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
79421063837696 = 211 · 79 · 312 |
Discriminant |
Eigenvalues |
2+ 0 2 7- 4 2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-18179,840350] |
[a1,a2,a3,a4,a6] |
j |
8039358/961 |
j-invariant |
L |
2.3570962974429 |
L(r)(E,1)/r! |
Ω |
0.58927407436073 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24304f2 97216e2 109368bq2 12152b2 |
Quadratic twists by: -4 8 -3 -7 |