Atkin-Lehner |
2+ 3- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
26928j |
Isogeny class |
Conductor |
26928 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
16018497792 = 28 · 39 · 11 · 172 |
Discriminant |
Eigenvalues |
2+ 3- -2 4 11+ 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-257511,50296966] |
[a1,a2,a3,a4,a6] |
j |
10119139303540048/85833 |
j-invariant |
L |
1.7197783145317 |
L(r)(E,1)/r! |
Ω |
0.85988915726614 |
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 |
13464j1 107712em1 8976k1 |
Quadratic twists by: -4 8 -3 |