Atkin-Lehner |
3+ 5+ 19+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
112575b |
Isogeny class |
Conductor |
112575 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
33861020888671875 = 34 · 510 · 193 · 792 |
Discriminant |
Eigenvalues |
1 3+ 5+ -2 0 2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-905275,-331786250] |
[a1,a2,a3,a4,a6] |
j |
5251048347996320689/2167105336875 |
j-invariant |
L |
0.61912012758206 |
L(r)(E,1)/r! |
Ω |
0.15478009797769 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22515d2 |
Quadratic twists by: 5 |