Atkin-Lehner |
2+ 11- 103- |
Signs for the Atkin-Lehner involutions |
Class |
36256h |
Isogeny class |
Conductor |
36256 |
Conductor |
∏ cp |
8 |
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 |
[73:103:1] |
Generators of the group modulo torsion |
j |
-155998903546368/1238059691 |
j-invariant |
L |
2.8543461101893 |
L(r)(E,1)/r! |
Ω |
0.77102688740722 |
Real period |
R |
0.46275074138291 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999949 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36256d1 72512w1 |
Quadratic twists by: -4 8 |