Atkin-Lehner |
7+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
38437d |
Isogeny class |
Conductor |
38437 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
77112 |
Modular degree for the optimal curve |
Δ |
45461011242997 = 73 · 178 · 19 |
Discriminant |
Eigenvalues |
0 0 -2 7+ -5 -3 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-9826,187922] |
[a1,a2,a3,a4,a6] |
Generators |
[0:433:1] |
Generators of the group modulo torsion |
j |
15040512/6517 |
j-invariant |
L |
1.5036519804603 |
L(r)(E,1)/r! |
Ω |
0.57586574558866 |
Real period |
R |
0.87037183694289 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999924 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38437f1 |
Quadratic twists by: 17 |