Atkin-Lehner |
2+ 5+ 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
51520c |
Isogeny class |
Conductor |
51520 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
422051840 = 219 · 5 · 7 · 23 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ 4 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-549548,-156803792] |
[a1,a2,a3,a4,a6] |
Generators |
[195151944:10880210836:59319] |
Generators of the group modulo torsion |
j |
70016546394529281/1610 |
j-invariant |
L |
5.2095158652513 |
L(r)(E,1)/r! |
Ω |
0.1753469219949 |
Real period |
R |
14.854882554982 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000000211 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51520bv4 1610f3 |
Quadratic twists by: -4 8 |