Atkin-Lehner |
2+ 3- 61- |
Signs for the Atkin-Lehner involutions |
Class |
35136w |
Isogeny class |
Conductor |
35136 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
559104 |
Modular degree for the optimal curve |
Δ |
-2378940425000976384 = -1 · 225 · 319 · 61 |
Discriminant |
Eigenvalues |
2+ 3- -1 2 2 -4 -1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4087308,3181429744] |
[a1,a2,a3,a4,a6] |
Generators |
[3560:183708:1] |
Generators of the group modulo torsion |
j |
-39515579724486529/12448473984 |
j-invariant |
L |
5.4587103306661 |
L(r)(E,1)/r! |
Ω |
0.2529870906821 |
Real period |
R |
2.6971288910181 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35136cl1 1098c1 11712n1 |
Quadratic twists by: -4 8 -3 |