Atkin-Lehner |
2+ 17+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
64192k |
Isogeny class |
Conductor |
64192 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
344064 |
Modular degree for the optimal curve |
Δ |
-1124169119105024 = -1 · 216 · 174 · 593 |
Discriminant |
Eigenvalues |
2+ 1 3 3 -2 -6 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,25951,-106177] |
[a1,a2,a3,a4,a6] |
j |
29490989143388/17153459459 |
j-invariant |
L |
3.4717348950766 |
L(r)(E,1)/r! |
Ω |
0.28931124168597 |
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 |
64192bn1 8024k1 |
Quadratic twists by: -4 8 |