Atkin-Lehner |
2- 3- 5+ 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
30030bp |
Isogeny class |
Conductor |
30030 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
1228800 |
Modular degree for the optimal curve |
Δ |
-1.916738734911E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11+ 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,834799,597984681] |
[a1,a2,a3,a4,a6] |
j |
64338279059769735453551/191673873491100000000 |
j-invariant |
L |
5.0496494600212 |
L(r)(E,1)/r! |
Ω |
0.12624123650054 |
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 |
90090bz1 |
Quadratic twists by: -3 |