Atkin-Lehner |
2+ 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
103488bw |
Isogeny class |
Conductor |
103488 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
3555899394195456 = 215 · 32 · 77 · 114 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 11- 2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-139617,-19827135] |
[a1,a2,a3,a4,a6] |
Generators |
[-211:440:1] |
Generators of the group modulo torsion |
j |
78073482824/922383 |
j-invariant |
L |
6.5726876591425 |
L(r)(E,1)/r! |
Ω |
0.24715813041336 |
Real period |
R |
1.6620654026332 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000028161 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103488dc3 51744cj3 14784ba4 |
Quadratic twists by: -4 8 -7 |