Atkin-Lehner |
2- 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
42588d |
Isogeny class |
Conductor |
42588 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-17267387902128 = -1 · 24 · 33 · 72 · 138 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 2 13+ -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,6084,81289] |
[a1,a2,a3,a4,a6] |
Generators |
[26:-507:1] |
Generators of the group modulo torsion |
j |
11943936/8281 |
j-invariant |
L |
5.3158470006617 |
L(r)(E,1)/r! |
Ω |
0.43769894949483 |
Real period |
R |
1.0120820499262 |
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 |
42588c1 3276a1 |
Quadratic twists by: -3 13 |