Atkin-Lehner |
2+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
31850u |
Isogeny class |
Conductor |
31850 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-4730272820000000 = -1 · 28 · 57 · 72 · 136 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7- 0 13- 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-19267526,32551095448] |
[a1,a2,a3,a4,a6] |
Generators |
[2533:-1371:1] |
Generators of the group modulo torsion |
j |
-1033202467754104941601/6178315520 |
j-invariant |
L |
4.5186514698955 |
L(r)(E,1)/r! |
Ω |
0.29638079255703 |
Real period |
R |
0.63525420441254 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6370n2 31850b2 |
Quadratic twists by: 5 -7 |