Atkin-Lehner |
2+ 7+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
52598f |
Isogeny class |
Conductor |
52598 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-33842133843207872 = -1 · 26 · 73 · 13 · 179 |
Discriminant |
Eigenvalues |
2+ -1 0 7+ -3 13- 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,80770,-492236] |
[a1,a2,a3,a4,a6] |
Generators |
[188:4530:1] [4734:125371:8] |
Generators of the group modulo torsion |
j |
2414193248375/1402052288 |
j-invariant |
L |
5.6715944512049 |
L(r)(E,1)/r! |
Ω |
0.21818199639297 |
Real period |
R |
3.2493483335977 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3094b2 |
Quadratic twists by: 17 |