Atkin-Lehner |
2+ 13- 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
11362d |
Isogeny class |
Conductor |
11362 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
14016 |
Modular degree for the optimal curve |
Δ |
-7169740136 = -1 · 23 · 13 · 194 · 232 |
Discriminant |
Eigenvalues |
2+ 3 1 1 6 13- 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-184,4232] |
[a1,a2,a3,a4,a6] |
j |
-691041567321/7169740136 |
j-invariant |
L |
4.517363648728 |
L(r)(E,1)/r! |
Ω |
1.129340912182 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90896z1 102258y1 |
Quadratic twists by: -4 -3 |