Atkin-Lehner |
3+ 7- 23+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
17871b |
Isogeny class |
Conductor |
17871 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
80192 |
Modular degree for the optimal curve |
Δ |
-97885326775803 = -1 · 3 · 7 · 237 · 372 |
Discriminant |
Eigenvalues |
0 3+ -4 7- -1 6 -2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-2455,479127] |
[a1,a2,a3,a4,a6] |
j |
-1637024169558016/97885326775803 |
j-invariant |
L |
0.991268739422 |
L(r)(E,1)/r! |
Ω |
0.495634369711 |
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 |
53613e1 125097f1 |
Quadratic twists by: -3 -7 |