Atkin-Lehner |
2- 7+ 19+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
12502c |
Isogeny class |
Conductor |
12502 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-11175184480978 = -1 · 2 · 7 · 198 · 47 |
Discriminant |
Eigenvalues |
2- 0 -2 7+ 0 -2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,794,160407] |
[a1,a2,a3,a4,a6] |
j |
55424004754383/11175184480978 |
j-invariant |
L |
1.1094551522174 |
L(r)(E,1)/r! |
Ω |
0.5547275761087 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100016p3 112518g3 87514u3 |
Quadratic twists by: -4 -3 -7 |