Atkin-Lehner |
2+ 3- 7+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
78498k |
Isogeny class |
Conductor |
78498 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
-2183136954601176 = -1 · 23 · 315 · 74 · 892 |
Discriminant |
Eigenvalues |
2+ 3- 1 7+ -3 -2 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-15444,-2362424] |
[a1,a2,a3,a4,a6] |
j |
-232755107809/1247272344 |
j-invariant |
L |
0.77060601476301 |
L(r)(E,1)/r! |
Ω |
0.19265150393983 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26166n1 78498x1 |
Quadratic twists by: -3 -7 |