Atkin-Lehner |
2- 7- 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
67522q |
Isogeny class |
Conductor |
67522 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
Δ |
66458933632 = 27 · 73 · 134 · 53 |
Discriminant |
Eigenvalues |
2- 0 0 7- -4 13+ 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-253245,49115525] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:7100:1] [247:1136:1] |
Generators of the group modulo torsion |
j |
5236614728892930375/193757824 |
j-invariant |
L |
14.361616603643 |
L(r)(E,1)/r! |
Ω |
0.81359670787435 |
Real period |
R |
2.5217156054696 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
67522t2 |
Quadratic twists by: -7 |