Atkin-Lehner |
2+ 3- 7+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
79632d |
Isogeny class |
Conductor |
79632 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
432000 |
Modular degree for the optimal curve |
Δ |
-12371687872137216 = -1 · 211 · 36 · 75 · 793 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ -3 3 -1 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6411,-5355110] |
[a1,a2,a3,a4,a6] |
Generators |
[393:7268:1] |
Generators of the group modulo torsion |
j |
-19518370706/8286506473 |
j-invariant |
L |
4.5598904296003 |
L(r)(E,1)/r! |
Ω |
0.17968774686291 |
Real period |
R |
2.1147288884519 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999984612 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39816i1 8848a1 |
Quadratic twists by: -4 -3 |