Atkin-Lehner |
2+ 3+ 7- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
126672r |
Isogeny class |
Conductor |
126672 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
57344 |
Modular degree for the optimal curve |
Δ |
126672 = 24 · 3 · 7 · 13 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- -4 13- -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2639,53070] |
[a1,a2,a3,a4,a6] |
Generators |
[46:164:1] [2020:955:64] |
Generators of the group modulo torsion |
j |
127082707105792/7917 |
j-invariant |
L |
8.9281198806419 |
L(r)(E,1)/r! |
Ω |
2.491134639077 |
Real period |
R |
14.335828727352 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999965 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63336p1 |
Quadratic twists by: -4 |