Atkin-Lehner |
2+ 11+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
36256d |
Isogeny class |
Conductor |
36256 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
136192 |
Modular degree for the optimal curve |
Δ |
-5071092494336 = -1 · 212 · 11 · 1034 |
Discriminant |
Eigenvalues |
2+ 3 -3 0 11+ 2 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-17944,-931504] |
[a1,a2,a3,a4,a6] |
Generators |
[554616:15042212:729] |
Generators of the group modulo torsion |
j |
-155998903546368/1238059691 |
j-invariant |
L |
8.3169403558993 |
L(r)(E,1)/r! |
Ω |
0.20615030068901 |
Real period |
R |
10.086015310312 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36256h1 72512z1 |
Quadratic twists by: -4 8 |