Atkin-Lehner |
2- 11+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
36256k |
Isogeny class |
Conductor |
36256 |
Conductor |
∏ cp |
4 |
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] |
j |
-3796363434482610826752/1708590059 |
j-invariant |
L |
7.2378065398288 |
L(r)(E,1)/r! |
Ω |
0.45236290873949 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36256g1 72512h1 |
Quadratic twists by: -4 8 |