Atkin-Lehner |
11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
34969i |
Isogeny class |
Conductor |
34969 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
38880 |
Modular degree for the optimal curve |
Δ |
-681446882699 = -1 · 119 · 172 |
Discriminant |
Eigenvalues |
-2 0 -1 -2 11- 2 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,2057,16970] |
[a1,a2,a3,a4,a6] |
Generators |
[165:4645:27] [55:544:1] |
Generators of the group modulo torsion |
j |
1880064/1331 |
j-invariant |
L |
4.0446783198167 |
L(r)(E,1)/r! |
Ω |
0.57483805872431 |
Real period |
R |
1.7590512051313 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999985 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3179b1 34969l1 |
Quadratic twists by: -11 17 |