Atkin-Lehner |
5+ 11- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
88825i |
Isogeny class |
Conductor |
88825 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1555200 |
Modular degree for the optimal curve |
Δ |
-1870780353921875 = -1 · 56 · 11 · 174 · 194 |
Discriminant |
Eigenvalues |
2 1 5+ -2 11- -4 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1850058,967944919] |
[a1,a2,a3,a4,a6] |
j |
-44818771954214268928/119729942651 |
j-invariant |
L |
1.6268398607574 |
L(r)(E,1)/r! |
Ω |
0.40670999493126 |
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 |
3553c1 |
Quadratic twists by: 5 |