Atkin-Lehner |
2+ 3- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
103968i |
Isogeny class |
Conductor |
103968 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
963540302564929536 = 212 · 36 · 199 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 0 -4 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-246924,0] |
[a1,a2,a3,a4,a6] |
j |
1728 |
j-invariant |
L |
1.8820075823703 |
L(r)(E,1)/r! |
Ω |
0.23525095222789 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103968i2 11552n2 103968bk2 |
Quadratic twists by: -4 -3 -19 |