Atkin-Lehner |
2+ 3- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
98838k |
Isogeny class |
Conductor |
98838 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
327680 |
Modular degree for the optimal curve |
Δ |
33932161350468 = 22 · 314 · 173 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 2 4 -2 -2 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-22851,1305409] |
[a1,a2,a3,a4,a6] |
j |
368447607809/9474084 |
j-invariant |
L |
2.6118407187655 |
L(r)(E,1)/r! |
Ω |
0.65296021567446 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32946q1 98838m1 |
Quadratic twists by: -3 17 |