Atkin-Lehner |
2- 5- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
113680bj |
Isogeny class |
Conductor |
113680 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-101317436416000000 = -1 · 216 · 56 · 76 · 292 |
Discriminant |
Eigenvalues |
2- 0 5- 7- -2 6 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,7693,-15312206] |
[a1,a2,a3,a4,a6] |
j |
104487111/210250000 |
j-invariant |
L |
1.8730489367961 |
L(r)(E,1)/r! |
Ω |
0.15608742957337 |
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 |
14210g2 2320e2 |
Quadratic twists by: -4 -7 |