Atkin-Lehner |
11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
34969j |
Isogeny class |
Conductor |
34969 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1036800 |
Modular degree for the optimal curve |
Δ |
-967557126528354043 = -1 · 119 · 177 |
Discriminant |
Eigenvalues |
-2 0 -4 -5 11- -4 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,244783,-8174004] |
[a1,a2,a3,a4,a6] |
Generators |
[561:17484:1] [264:8651:1] |
Generators of the group modulo torsion |
j |
37933056/22627 |
j-invariant |
L |
2.4443142795113 |
L(r)(E,1)/r! |
Ω |
0.16254496890858 |
Real period |
R |
0.93986078741904 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3179e1 2057d1 |
Quadratic twists by: -11 17 |