Atkin-Lehner |
2+ 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
121520f |
Isogeny class |
Conductor |
121520 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
35455832070400 = 28 · 52 · 78 · 312 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 0 -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-17983,-882882] |
[a1,a2,a3,a4,a6] |
Generators |
[7707:112112:27] |
Generators of the group modulo torsion |
j |
21354132816/1177225 |
j-invariant |
L |
4.5092703595839 |
L(r)(E,1)/r! |
Ω |
0.41368852859522 |
Real period |
R |
5.4500790359635 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011871 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
60760q2 17360n2 |
Quadratic twists by: -4 -7 |