Atkin-Lehner |
2+ 7+ 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
38318b |
Isogeny class |
Conductor |
38318 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
33408 |
Modular degree for the optimal curve |
Δ |
-24960575108 = -1 · 22 · 74 · 173 · 232 |
Discriminant |
Eigenvalues |
2+ -1 0 7+ 1 -3 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3455,77113] |
[a1,a2,a3,a4,a6] |
Generators |
[-28:405:1] [-64:235:1] |
Generators of the group modulo torsion |
j |
-1900518489625/10395908 |
j-invariant |
L |
5.7113445111321 |
L(r)(E,1)/r! |
Ω |
1.2007758305087 |
Real period |
R |
0.13212162887671 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999979 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38318d1 |
Quadratic twists by: -7 |