Atkin-Lehner |
2- 3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050gi |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
26966016 |
Modular degree for the optimal curve |
Δ |
-1.7445976675715E+23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 11- 5 8 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-29166508,63859768061] |
[a1,a2,a3,a4,a6] |
j |
-512030145192547465/32554707496752 |
j-invariant |
L |
5.6008580083983 |
L(r)(E,1)/r! |
Ω |
0.10001530137523 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127050ec1 127050l1 |
Quadratic twists by: 5 -11 |