Atkin-Lehner |
2+ 3+ 7- 17- 53- |
Signs for the Atkin-Lehner involutions |
Class |
37842i |
Isogeny class |
Conductor |
37842 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
3708720 |
Modular degree for the optimal curve |
Δ |
-2.8936375066755E+20 |
Discriminant |
Eigenvalues |
2+ 3+ -4 7- 1 3 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-8585377,-9720598475] |
[a1,a2,a3,a4,a6] |
j |
-69984506253891754834225561/289363750667551461888 |
j-invariant |
L |
0.66132282083235 |
L(r)(E,1)/r! |
Ω |
0.044088188053156 |
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 |
113526bd1 |
Quadratic twists by: -3 |