Atkin-Lehner |
2+ 13+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
79768c |
Isogeny class |
Conductor |
79768 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
409344 |
Modular degree for the optimal curve |
Δ |
-2907708047156224 = -1 · 210 · 138 · 592 |
Discriminant |
Eigenvalues |
2+ 0 3 -2 -6 13+ 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-50531,-5083858] |
[a1,a2,a3,a4,a6] |
Generators |
[1183:39884:1] [331638:12845539:216] |
Generators of the group modulo torsion |
j |
-17082468/3481 |
j-invariant |
L |
11.5326523324 |
L(r)(E,1)/r! |
Ω |
0.15748773000718 |
Real period |
R |
6.1024078572618 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000158 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79768i1 |
Quadratic twists by: 13 |