Atkin-Lehner |
2+ 3- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
88218n |
Isogeny class |
Conductor |
88218 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
9704448 |
Modular degree for the optimal curve |
Δ |
-7.7190938327764E+23 |
Discriminant |
Eigenvalues |
2+ 3- 0 1 3 13+ -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-62468262,194696731620] |
[a1,a2,a3,a4,a6] |
j |
-268250743281625/7680778992 |
j-invariant |
L |
0.71548586255122 |
L(r)(E,1)/r! |
Ω |
0.089435744395191 |
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 |
29406y1 88218bt1 |
Quadratic twists by: -3 13 |