Atkin-Lehner |
2+ 3+ 13- 67- |
Signs for the Atkin-Lehner involutions |
Class |
5226b |
Isogeny class |
Conductor |
5226 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2400 |
Modular degree for the optimal curve |
Δ |
-609947364 = -1 · 22 · 3 · 132 · 673 |
Discriminant |
Eigenvalues |
2+ 3+ -1 1 2 13- -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-363,2769] |
[a1,a2,a3,a4,a6] |
Generators |
[92:825:1] |
Generators of the group modulo torsion |
j |
-5312655169849/609947364 |
j-invariant |
L |
2.3731543880356 |
L(r)(E,1)/r! |
Ω |
1.5823719324045 |
Real period |
R |
0.12497874969832 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41808o1 15678i1 67938m1 |
Quadratic twists by: -4 -3 13 |