Atkin-Lehner |
2- 23+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
7268a |
Isogeny class |
Conductor |
7268 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
840 |
Modular degree for the optimal curve |
Δ |
-2296688 = -1 · 24 · 23 · 792 |
Discriminant |
Eigenvalues |
2- -1 0 -2 0 -5 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-18,85] |
[a1,a2,a3,a4,a6] |
Generators |
[3:7:1] [19:79:1] |
Generators of the group modulo torsion |
j |
-42592000/143543 |
j-invariant |
L |
4.4698475796268 |
L(r)(E,1)/r! |
Ω |
2.2715555987686 |
Real period |
R |
0.98387369035773 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29072l1 116288a1 65412c1 |
Quadratic twists by: -4 8 -3 |