Atkin-Lehner |
2- 3- 7- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
126672bz |
Isogeny class |
Conductor |
126672 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
3110400 |
Modular degree for the optimal curve |
Δ |
-8549369673066872832 = -1 · 217 · 3 · 74 · 135 · 293 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -1 13+ 1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5905968,-5528155308] |
[a1,a2,a3,a4,a6] |
Generators |
[19538:2708832:1] |
Generators of the group modulo torsion |
j |
-5562078401367373992625/2087248455338592 |
j-invariant |
L |
9.2793848297702 |
L(r)(E,1)/r! |
Ω |
0.048421362353672 |
Real period |
R |
3.9924633886262 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000044612 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15834k1 |
Quadratic twists by: -4 |