Atkin-Lehner |
2+ 3- 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
127890bt |
Isogeny class |
Conductor |
127890 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
356261076893131200 = 26 · 38 · 52 · 79 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-26347995,52062421221] |
[a1,a2,a3,a4,a6] |
Generators |
[3030:4749:1] [333:207981:1] |
Generators of the group modulo torsion |
j |
68763274571205703/12110400 |
j-invariant |
L |
8.2992388359229 |
L(r)(E,1)/r! |
Ω |
0.23819906534482 |
Real period |
R |
2.1776005995262 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999950592 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42630de2 127890ct2 |
Quadratic twists by: -3 -7 |