Atkin-Lehner |
2- 23+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
98624k |
Isogeny class |
Conductor |
98624 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
76032 |
Modular degree for the optimal curve |
Δ |
-55928486912 = -1 · 210 · 233 · 672 |
Discriminant |
Eigenvalues |
2- -1 4 -2 2 3 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1881,34033] |
[a1,a2,a3,a4,a6] |
j |
-719152519936/54617663 |
j-invariant |
L |
2.1916201940043 |
L(r)(E,1)/r! |
Ω |
1.0958101293757 |
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 |
98624h1 24656d1 |
Quadratic twists by: -4 8 |