Atkin-Lehner |
2+ 3- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
36414q |
Isogeny class |
Conductor |
36414 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-20068629336 = -1 · 23 · 311 · 72 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 1 7+ -5 -2 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-54,-6804] |
[a1,a2,a3,a4,a6] |
Generators |
[45:-306:1] [198:549:8] |
Generators of the group modulo torsion |
j |
-83521/95256 |
j-invariant |
L |
6.7123675364659 |
L(r)(E,1)/r! |
Ω |
0.54913732905472 |
Real period |
R |
1.5279346306736 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12138v1 36414bm1 |
Quadratic twists by: -3 17 |