Atkin-Lehner |
2- 3+ 7+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
78078by |
Isogeny class |
Conductor |
78078 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
deg |
344064 |
Modular degree for the optimal curve |
Δ |
-99879716192256 = -1 · 216 · 32 · 72 · 112 · 134 |
Discriminant |
Eigenvalues |
2- 3+ -3 7+ 11+ 13+ -3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-15467,876377] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:1102:1] [-141:598:1] |
Generators of the group modulo torsion |
j |
-14327496611233/3497066496 |
j-invariant |
L |
10.922379655878 |
L(r)(E,1)/r! |
Ω |
0.57020431256347 |
Real period |
R |
0.049883342503324 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000014 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78078s1 |
Quadratic twists by: 13 |