Atkin-Lehner |
2- 3+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
35136bn |
Isogeny class |
Conductor |
35136 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
-863502336 = -1 · 219 · 33 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 1 -4 6 6 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-492,4432] |
[a1,a2,a3,a4,a6] |
Generators |
[26:96:1] |
Generators of the group modulo torsion |
j |
-1860867/122 |
j-invariant |
L |
6.0137309215607 |
L(r)(E,1)/r! |
Ω |
1.5557324242059 |
Real period |
R |
0.48319129530183 |
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 |
35136g1 8784j1 35136bo1 |
Quadratic twists by: -4 8 -3 |