Atkin-Lehner |
2+ 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050em |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
81 |
Product of Tamagawa factors cp |
deg |
777600 |
Modular degree for the optimal curve |
Δ |
-105929922656250 = -1 · 2 · 33 · 58 · 73 · 114 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11- 2 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-213326,37909298] |
[a1,a2,a3,a4,a6] |
Generators |
[-298:8811:1] |
Generators of the group modulo torsion |
j |
-187724683465/18522 |
j-invariant |
L |
7.1136778644086 |
L(r)(E,1)/r! |
Ω |
0.57034007503266 |
Real period |
R |
1.3858550188639 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999513888 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
127050fk1 127050ir1 |
Quadratic twists by: 5 -11 |