Atkin-Lehner |
2+ 17+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
34102a |
Isogeny class |
Conductor |
34102 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-169055542322066402 = -1 · 2 · 178 · 594 |
Discriminant |
Eigenvalues |
2+ 0 0 -2 -4 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-353212,-83096310] |
[a1,a2,a3,a4,a6] |
Generators |
[1799457051:8035576509:2571353] |
Generators of the group modulo torsion |
j |
-201900421229625/7003834658 |
j-invariant |
L |
2.451134629189 |
L(r)(E,1)/r! |
Ω |
0.097718305733026 |
Real period |
R |
12.54183958063 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2006a2 |
Quadratic twists by: 17 |