Atkin-Lehner |
2+ 3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050s |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
48964608 |
Modular degree for the optimal curve |
Δ |
-1.0125730784151E+26 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 11- 1 -4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-237504610,1489589548660] |
[a1,a2,a3,a4,a6] |
Generators |
[-439332:27838642:27] |
Generators of the group modulo torsion |
j |
-276476584904058483505/18894912563294208 |
j-invariant |
L |
4.3103256800396 |
L(r)(E,1)/r! |
Ω |
0.058770489127102 |
Real period |
R |
6.1118055897087 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000075531 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127050iq1 127050ff1 |
Quadratic twists by: 5 -11 |