Atkin-Lehner |
2+ 3+ 7+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
50232b |
Isogeny class |
Conductor |
50232 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2826916953067404288 = 210 · 36 · 78 · 134 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ -4 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-492952,-105678212] |
[a1,a2,a3,a4,a6] |
Generators |
[-534:2236:1] |
Generators of the group modulo torsion |
j |
12937147670161155172/2760661086979887 |
j-invariant |
L |
5.1040808487192 |
L(r)(E,1)/r! |
Ω |
0.18289958092479 |
Real period |
R |
3.4883081899972 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000046 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100464q4 |
Quadratic twists by: -4 |