Atkin-Lehner |
2+ 3+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
4368c |
Isogeny class |
Conductor |
4368 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
768 |
Modular degree for the optimal curve |
Δ |
-1886976 = -1 · 28 · 34 · 7 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7+ 2 13+ 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,23,-59] |
[a1,a2,a3,a4,a6] |
Generators |
[4:9:1] |
Generators of the group modulo torsion |
j |
5030912/7371 |
j-invariant |
L |
2.4418771625238 |
L(r)(E,1)/r! |
Ω |
1.3961787157425 |
Real period |
R |
0.87448588600821 |
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 |
2184g1 17472cv1 13104p1 109200by1 |
Quadratic twists by: -4 8 -3 5 |