Atkin-Lehner |
2- 3- 7- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
12558r |
Isogeny class |
Conductor |
12558 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
Δ |
78199561937952 = 25 · 312 · 7 · 134 · 23 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -4 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-30044,-1961232] |
[a1,a2,a3,a4,a6] |
Generators |
[-92:208:1] |
Generators of the group modulo torsion |
j |
2999147847636136897/78199561937952 |
j-invariant |
L |
7.4033018701991 |
L(r)(E,1)/r! |
Ω |
0.36320428809135 |
Real period |
R |
0.67944332459138 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100464v3 37674g3 87906bh3 |
Quadratic twists by: -4 -3 -7 |