Atkin-Lehner |
2- 3+ 5+ 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
38850bt |
Isogeny class |
Conductor |
38850 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
76032 |
Modular degree for the optimal curve |
Δ |
-1445584218750 = -1 · 2 · 36 · 57 · 73 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 1 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,1037,-55969] |
[a1,a2,a3,a4,a6] |
j |
7892485271/92517390 |
j-invariant |
L |
3.3493368267399 |
L(r)(E,1)/r! |
Ω |
0.41866710334846 |
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 |
116550bb1 7770j1 |
Quadratic twists by: -3 5 |