Atkin-Lehner |
2+ 3+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
28392d |
Isogeny class |
Conductor |
28392 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
21888 |
Modular degree for the optimal curve |
Δ |
-4629940224 = -1 · 211 · 3 · 73 · 133 |
Discriminant |
Eigenvalues |
2+ 3+ 3 7+ -5 13- 7 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-264,3756] |
[a1,a2,a3,a4,a6] |
j |
-453962/1029 |
j-invariant |
L |
2.43820722304 |
L(r)(E,1)/r! |
Ω |
1.2191036115201 |
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 |
56784bc1 85176bx1 28392y1 |
Quadratic twists by: -4 -3 13 |