Atkin-Lehner |
2+ 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
8050l |
Isogeny class |
Conductor |
8050 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
25156250 = 2 · 57 · 7 · 23 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- -4 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-214667,-38228509] |
[a1,a2,a3,a4,a6] |
Generators |
[545:2264:1] |
Generators of the group modulo torsion |
j |
70016546394529281/1610 |
j-invariant |
L |
2.9720110817557 |
L(r)(E,1)/r! |
Ω |
0.22179826168151 |
Real period |
R |
6.6998069759973 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64400bc4 72450eg4 1610f3 56350n4 |
Quadratic twists by: -4 -3 5 -7 |