Atkin-Lehner |
2+ 3+ 7- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
100464h |
Isogeny class |
Conductor |
100464 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
4528128 |
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] |
j |
-4405604276425446989008/14350610745897829767 |
j-invariant |
L |
0.68753510916233 |
L(r)(E,1)/r! |
Ω |
0.057294609414417 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50232i1 |
Quadratic twists by: -4 |