Atkin-Lehner |
2- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
78416w |
Isogeny class |
Conductor |
78416 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
599040 |
Modular degree for the optimal curve |
Δ |
322469082501742592 = 220 · 139 · 29 |
Discriminant |
Eigenvalues |
2- 0 0 -2 0 13- -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-208715,24505338] |
[a1,a2,a3,a4,a6] |
Generators |
[-28749:2207232:343] |
Generators of the group modulo torsion |
j |
23149125/7424 |
j-invariant |
L |
4.1669217952693 |
L(r)(E,1)/r! |
Ω |
0.28190419230688 |
Real period |
R |
7.3906701363212 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010792 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9802h1 78416v1 |
Quadratic twists by: -4 13 |