Atkin-Lehner |
2- 5+ 7- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
121030y |
Isogeny class |
Conductor |
121030 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
32600064 |
Modular degree for the optimal curve |
Δ |
-8.7652036656164E+21 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- 3 13- -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-954878541,-11357573658341] |
[a1,a2,a3,a4,a6] |
j |
-280720412092243897560851930263/25554529637365625000 |
j-invariant |
L |
2.2813497694085 |
L(r)(E,1)/r! |
Ω |
0.013579460722117 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121030bg1 |
Quadratic twists by: -7 |