Atkin-Lehner |
2+ 3+ 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050k |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
5702400 |
Modular degree for the optimal curve |
Δ |
-1.7724799972687E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 11- -5 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,225300,-639126000] |
[a1,a2,a3,a4,a6] |
Generators |
[776:1548:1] [1744:70276:1] |
Generators of the group modulo torsion |
j |
604175/84672 |
j-invariant |
L |
7.1619027310329 |
L(r)(E,1)/r! |
Ω |
0.085295084897683 |
Real period |
R |
6.9971819430597 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999951118 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127050jm1 127050gh1 |
Quadratic twists by: 5 -11 |