Atkin-Lehner |
2- 3+ 7+ 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
37884a |
Isogeny class |
Conductor |
37884 |
Conductor |
∏ cp |
180 |
Product of Tamagawa factors cp |
deg |
4993920 |
Modular degree for the optimal curve |
Δ |
6.2461457944201E+19 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 11- 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-273924777,-1744907277078] |
[a1,a2,a3,a4,a6] |
j |
142068462797158812002488926208/3903841121512535973 |
j-invariant |
L |
1.6699529673843 |
L(r)(E,1)/r! |
Ω |
0.037110065942876 |
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 |
113652i1 |
Quadratic twists by: -3 |