Atkin-Lehner |
2+ 3+ 5- 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
38280g |
Isogeny class |
Conductor |
38280 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
1693440 |
Modular degree for the optimal curve |
Δ |
-2.0758959428584E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 11+ 2 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5385160,-5284178900] |
[a1,a2,a3,a4,a6] |
Generators |
[1351032220026444859166115:-22154442221246097608227540:477193753405247892623] |
Generators of the group modulo torsion |
j |
-8433147070072194299282/1013621065848851625 |
j-invariant |
L |
5.760756143609 |
L(r)(E,1)/r! |
Ω |
0.04922119596327 |
Real period |
R |
39.012706015974 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76560t1 114840x1 |
Quadratic twists by: -4 -3 |