Atkin-Lehner |
2+ 3- 5- 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
83850bd |
Isogeny class |
Conductor |
83850 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
2396160 |
Modular degree for the optimal curve |
Δ |
-7.4035858466105E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 0 13+ 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,1049734,3149228] |
[a1,a2,a3,a4,a6] |
Generators |
[861:38881:1] |
Generators of the group modulo torsion |
j |
1023415724324044364851/592286867728837632 |
j-invariant |
L |
6.2253898927977 |
L(r)(E,1)/r! |
Ω |
0.11596026326568 |
Real period |
R |
1.67767327042 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001965 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83850cg1 |
Quadratic twists by: 5 |