Atkin-Lehner |
2- 3+ 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050fu |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
4435200 |
Modular degree for the optimal curve |
Δ |
-1.7021434894406E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 11- 6 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-190638,628443531] |
[a1,a2,a3,a4,a6] |
Generators |
[-8145933:264034845:12167] |
Generators of the group modulo torsion |
j |
-3025/672 |
j-invariant |
L |
9.4020342109264 |
L(r)(E,1)/r! |
Ω |
0.14758497868952 |
Real period |
R |
12.741180372936 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000044491 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127050et1 127050bo1 |
Quadratic twists by: 5 -11 |