Atkin-Lehner |
2+ 3- 61- |
Signs for the Atkin-Lehner involutions |
Class |
35136z |
Isogeny class |
Conductor |
35136 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-17485922304 = -1 · 217 · 37 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 3 2 -6 -4 -5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,564,-3728] |
[a1,a2,a3,a4,a6] |
Generators |
[8:36:1] |
Generators of the group modulo torsion |
j |
207646/183 |
j-invariant |
L |
6.7113466009556 |
L(r)(E,1)/r! |
Ω |
0.67661001083356 |
Real period |
R |
1.2398845888874 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35136cq1 4392a1 11712p1 |
Quadratic twists by: -4 8 -3 |