Atkin-Lehner |
3+ 7- 11- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
127743m |
Isogeny class |
Conductor |
127743 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-2538657205623 = -1 · 34 · 73 · 114 · 792 |
Discriminant |
Eigenvalues |
-1 3+ -4 7- 11- -4 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,1630,-71674] |
[a1,a2,a3,a4,a6] |
Generators |
[48:322:1] |
Generators of the group modulo torsion |
j |
1396290402233/7401332961 |
j-invariant |
L |
1.7279496517943 |
L(r)(E,1)/r! |
Ω |
0.40808080523522 |
Real period |
R |
0.52929147968652 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000612965 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127743bi2 |
Quadratic twists by: -7 |