Atkin-Lehner |
2+ 3- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
124992db |
Isogeny class |
Conductor |
124992 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
1469105650708512768 = 230 · 38 · 7 · 313 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 6 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2465580,1488997424] |
[a1,a2,a3,a4,a6] |
j |
8673882953919625/7687507968 |
j-invariant |
L |
3.2067784367805 |
L(r)(E,1)/r! |
Ω |
0.26723157865048 |
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 |
124992ek3 3906u3 41664z3 |
Quadratic twists by: -4 8 -3 |