Atkin-Lehner |
3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
127449bd |
Isogeny class |
Conductor |
127449 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1382400 |
Modular degree for the optimal curve |
Δ |
-60550990666640523 = -1 · 311 · 72 · 178 |
Discriminant |
Eigenvalues |
0 3- -4 7- 4 -1 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-169932,-29447294] |
[a1,a2,a3,a4,a6] |
Generators |
[562:7249:1] |
Generators of the group modulo torsion |
j |
-629407744/70227 |
j-invariant |
L |
3.9430591688966 |
L(r)(E,1)/r! |
Ω |
0.11683670634121 |
Real period |
R |
4.218557718069 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000138423 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42483j1 127449s1 7497m1 |
Quadratic twists by: -3 -7 17 |