Atkin-Lehner |
2+ 3+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
4368b |
Isogeny class |
Conductor |
4368 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8064 |
Modular degree for the optimal curve |
Δ |
30820608 = 28 · 33 · 73 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ -4 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-40132,3107872] |
[a1,a2,a3,a4,a6] |
Generators |
[3432:5680:27] |
Generators of the group modulo torsion |
j |
27923315228972368/120393 |
j-invariant |
L |
3.3779180509927 |
L(r)(E,1)/r! |
Ω |
1.404899275261 |
Real period |
R |
4.8087690135154 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2184l1 17472ct1 13104n1 109200cc1 |
Quadratic twists by: -4 8 -3 5 |