Atkin-Lehner |
2- 3+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
38148c |
Isogeny class |
Conductor |
38148 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
190944 |
Modular degree for the optimal curve |
Δ |
-4902339105296688 = -1 · 24 · 3 · 114 · 178 |
Discriminant |
Eigenvalues |
2- 3+ -2 -3 11+ 1 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,6551,3360310] |
[a1,a2,a3,a4,a6] |
Generators |
[758:21054:1] |
Generators of the group modulo torsion |
j |
278528/43923 |
j-invariant |
L |
2.9063513418382 |
L(r)(E,1)/r! |
Ω |
0.33331265955514 |
Real period |
R |
4.3597974132101 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114444s1 38148m1 |
Quadratic twists by: -3 17 |