Atkin-Lehner |
2+ 13- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
109174h |
Isogeny class |
Conductor |
109174 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
6903290368 = 29 · 133 · 17 · 192 |
Discriminant |
Eigenvalues |
2+ 0 0 4 2 13- 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-603472,180591360] |
[a1,a2,a3,a4,a6] |
Generators |
[58405:56131:125] |
Generators of the group modulo torsion |
j |
11062809483063715125/3142144 |
j-invariant |
L |
5.7122347434936 |
L(r)(E,1)/r! |
Ω |
0.78758688325542 |
Real period |
R |
7.2528312229127 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010263 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
109174r2 |
Quadratic twists by: 13 |