Atkin-Lehner |
2- 3+ 11+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
12078p |
Isogeny class |
Conductor |
12078 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
7488 |
Modular degree for the optimal curve |
Δ |
-5932375416 = -1 · 23 · 33 · 112 · 613 |
Discriminant |
Eigenvalues |
2- 3+ -3 2 11+ -4 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,181,3539] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:16:1] |
Generators of the group modulo torsion |
j |
24414238701/219717608 |
j-invariant |
L |
5.9815920433807 |
L(r)(E,1)/r! |
Ω |
0.98636180124528 |
Real period |
R |
1.5160745367037 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
96624be1 12078e2 |
Quadratic twists by: -4 -3 |