Atkin-Lehner |
2+ 3- 5- 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
52470r |
Isogeny class |
Conductor |
52470 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-3006278391107970 = -1 · 2 · 318 · 5 · 114 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 11- 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,8901,-2620337] |
[a1,a2,a3,a4,a6] |
Generators |
[189:2311:1] |
Generators of the group modulo torsion |
j |
106975701068111/4123838670930 |
j-invariant |
L |
4.907689338902 |
L(r)(E,1)/r! |
Ω |
0.21653618209071 |
Real period |
R |
5.6661308187697 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000021 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17490q4 |
Quadratic twists by: -3 |