Atkin-Lehner |
7- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
38437f |
Isogeny class |
Conductor |
38437 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
4536 |
Modular degree for the optimal curve |
Δ |
1883413 = 73 · 172 · 19 |
Discriminant |
Eigenvalues |
0 0 2 7- 5 -3 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-34,38] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:10:1] |
Generators of the group modulo torsion |
j |
15040512/6517 |
j-invariant |
L |
5.7394626452872 |
L(r)(E,1)/r! |
Ω |
2.3743552952371 |
Real period |
R |
0.80575734344923 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38437d1 |
Quadratic twists by: 17 |