Atkin-Lehner |
2+ 13+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
28054d |
Isogeny class |
Conductor |
28054 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
838656 |
Modular degree for the optimal curve |
Δ |
-1261211095661826608 = -1 · 24 · 1310 · 833 |
Discriminant |
Eigenvalues |
2+ 3 -2 -1 5 13+ -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,102467,52510901] |
[a1,a2,a3,a4,a6] |
j |
24649793075727/261292936112 |
j-invariant |
L |
2.4054891673024 |
L(r)(E,1)/r! |
Ω |
0.20045743060839 |
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 |
2158c1 |
Quadratic twists by: 13 |