Atkin-Lehner |
2- 7+ 19+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
39368f |
Isogeny class |
Conductor |
39368 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
26112 |
Modular degree for the optimal curve |
Δ |
25467631616 = 211 · 72 · 193 · 37 |
Discriminant |
Eigenvalues |
2- 2 -1 7+ 5 -4 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-736,684] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:12:1] |
Generators of the group modulo torsion |
j |
21558430658/12435367 |
j-invariant |
L |
7.4313149082716 |
L(r)(E,1)/r! |
Ω |
1.0145179482318 |
Real period |
R |
3.6624856766815 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78736f1 |
Quadratic twists by: -4 |