Atkin-Lehner |
2- 3- 5- 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
99120cx |
Isogeny class |
Conductor |
99120 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
16374624000 = 28 · 3 · 53 · 72 · 592 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 4 -4 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-97980,-11837400] |
[a1,a2,a3,a4,a6] |
Generators |
[3862430:-7389765:10648] |
Generators of the group modulo torsion |
j |
406350206368585936/63963375 |
j-invariant |
L |
9.2349365687508 |
L(r)(E,1)/r! |
Ω |
0.26984528287271 |
Real period |
R |
11.407693151769 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013382 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24780f2 |
Quadratic twists by: -4 |