Atkin-Lehner |
3- 5+ 11- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
122265m |
Isogeny class |
Conductor |
122265 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
72371443480318125 = 37 · 54 · 118 · 13 · 19 |
Discriminant |
Eigenvalues |
-1 3- 5+ -4 11- 13+ -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-104198,-242544] |
[a1,a2,a3,a4,a6] |
Generators |
[435:5832:1] |
Generators of the group modulo torsion |
j |
171620998985070361/99274956763125 |
j-invariant |
L |
2.6633739571239 |
L(r)(E,1)/r! |
Ω |
0.29109205362052 |
Real period |
R |
1.1436992444212 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999994850949 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40755g3 |
Quadratic twists by: -3 |