Atkin-Lehner |
2+ 3- 5+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
111150cc |
Isogeny class |
Conductor |
111150 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
12362450343750 = 2 · 36 · 56 · 134 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 -4 13- 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-46392,-3830734] |
[a1,a2,a3,a4,a6] |
Generators |
[-125:121:1] [-121:73:1] |
Generators of the group modulo torsion |
j |
969417177273/1085318 |
j-invariant |
L |
7.4501714258819 |
L(r)(E,1)/r! |
Ω |
0.32532507282458 |
Real period |
R |
5.7251746375052 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000003171 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12350s4 4446q3 |
Quadratic twists by: -3 5 |