Atkin-Lehner |
2+ 3- 7+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
50232i |
Isogeny class |
Conductor |
50232 |
Conductor |
∏ cp |
176 |
Product of Tamagawa factors cp |
deg |
2264064 |
Modular degree for the optimal curve |
Δ |
-3.6737563509498E+21 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 2 13+ -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2168572,3163910432] |
[a1,a2,a3,a4,a6] |
Generators |
[-13478:361179:8] |
Generators of the group modulo torsion |
j |
-4405604276425446989008/14350610745897829767 |
j-invariant |
L |
8.5083399593363 |
L(r)(E,1)/r! |
Ω |
0.12295478010209 |
Real period |
R |
1.5727030909449 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999577 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100464h1 |
Quadratic twists by: -4 |