Atkin-Lehner |
3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
127449y |
Isogeny class |
Conductor |
127449 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
60162048 |
Modular degree for the optimal curve |
Δ |
-1.0912184702143E+28 |
Discriminant |
Eigenvalues |
0 3- -1 7- 3 -3 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,454313202,3371611780822] |
[a1,a2,a3,a4,a6] |
Generators |
[28167018489105370:8930936639022742453:3115334495125] |
Generators of the group modulo torsion |
j |
5009339741732864/5271114033171 |
j-invariant |
L |
5.0589423309318 |
L(r)(E,1)/r! |
Ω |
0.026779351427707 |
Real period |
R |
23.614006973753 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42483f1 18207d1 7497k1 |
Quadratic twists by: -3 -7 17 |