Atkin-Lehner |
2+ 11- 103- |
Signs for the Atkin-Lehner involutions |
Class |
36256g |
Isogeny class |
Conductor |
36256 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
992000 |
Modular degree for the optimal curve |
Δ |
-6998384881664 = -1 · 212 · 115 · 1032 |
Discriminant |
Eigenvalues |
2+ -3 3 0 11- 4 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5199976,-4564047152] |
[a1,a2,a3,a4,a6] |
Generators |
[2792:51788:1] |
Generators of the group modulo torsion |
j |
-3796363434482610826752/1708590059 |
j-invariant |
L |
4.4026105644089 |
L(r)(E,1)/r! |
Ω |
0.049988398604645 |
Real period |
R |
4.4036323300041 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999953 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36256k1 72512d1 |
Quadratic twists by: -4 8 |