Atkin-Lehner |
2+ 3+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
127896a |
Isogeny class |
Conductor |
127896 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1363968 |
Modular degree for the optimal curve |
Δ |
916315422767981568 = 210 · 34 · 737 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -4 -2 -4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-257568,-20171844] |
[a1,a2,a3,a4,a6] |
Generators |
[36132:239805:64] |
Generators of the group modulo torsion |
j |
12194500/5913 |
j-invariant |
L |
2.6806296611954 |
L(r)(E,1)/r! |
Ω |
0.22248947947358 |
Real period |
R |
3.0120858965743 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998812269 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1752a1 |
Quadratic twists by: 73 |