Atkin-Lehner |
2+ 3+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
34680c |
Isogeny class |
Conductor |
34680 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
-2678690857344000 = -1 · 210 · 3 · 53 · 178 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 -4 4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,23024,-2103524] |
[a1,a2,a3,a4,a6] |
Generators |
[481470:9728896:1331] |
Generators of the group modulo torsion |
j |
54607676/108375 |
j-invariant |
L |
3.3452046500107 |
L(r)(E,1)/r! |
Ω |
0.23728799028404 |
Real period |
R |
7.0488284004728 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69360bb1 104040ct1 2040i1 |
Quadratic twists by: -4 -3 17 |