Atkin-Lehner |
2+ 3+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
12342c |
Isogeny class |
Conductor |
12342 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2428676689939236 = 22 · 34 · 1110 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -4 11- 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-49249,-3495455] |
[a1,a2,a3,a4,a6] |
j |
7457162887153/1370924676 |
j-invariant |
L |
0.64908388336198 |
L(r)(E,1)/r! |
Ω |
0.32454194168099 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
98736db2 37026bn2 1122h2 |
Quadratic twists by: -4 -3 -11 |