Atkin-Lehner |
2- 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
42588d |
Isogeny class |
Conductor |
42588 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
1041356316559104 = 28 · 33 · 74 · 137 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 2 13+ -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-26871,681070] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:1014:1] |
Generators of the group modulo torsion |
j |
64314864/31213 |
j-invariant |
L |
5.3158470006617 |
L(r)(E,1)/r! |
Ω |
0.43769894949483 |
Real period |
R |
0.5060410249631 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999971 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42588c2 3276a2 |
Quadratic twists by: -3 13 |