Atkin-Lehner |
2- 17+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
34102r |
Isogeny class |
Conductor |
34102 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
5376 |
Modular degree for the optimal curve |
Δ |
-2318936 = -1 · 23 · 173 · 59 |
Discriminant |
Eigenvalues |
2- 1 -2 4 4 1 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,11,-71] |
[a1,a2,a3,a4,a6] |
Generators |
[24:107:1] |
Generators of the group modulo torsion |
j |
29791/472 |
j-invariant |
L |
10.675406742206 |
L(r)(E,1)/r! |
Ω |
1.2644031824842 |
Real period |
R |
1.4071733460356 |
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 |
34102s1 |
Quadratic twists by: 17 |