Atkin-Lehner |
2- 3+ 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050ff |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
4451328 |
Modular degree for the optimal curve |
Δ |
-5.7157110503965E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 11- -1 4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1962848,-1120042879] |
[a1,a2,a3,a4,a6] |
Generators |
[9269:876917:1] |
Generators of the group modulo torsion |
j |
-276476584904058483505/18894912563294208 |
j-invariant |
L |
9.4894934927337 |
L(r)(E,1)/r! |
Ω |
0.06352423560148 |
Real period |
R |
6.2243261612948 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016861 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127050eh1 127050s1 |
Quadratic twists by: 5 -11 |