Atkin-Lehner |
2- 3- 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
80724l |
Isogeny class |
Conductor |
80724 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
2232000 |
Modular degree for the optimal curve |
Δ |
-1.2738900622277E+20 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ -6 -3 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-397213,551380655] |
[a1,a2,a3,a4,a6] |
Generators |
[-718:21609:1] |
Generators of the group modulo torsion |
j |
-31744000/583443 |
j-invariant |
L |
6.3151775309633 |
L(r)(E,1)/r! |
Ω |
0.15619708824044 |
Real period |
R |
4.0430827506045 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999989987 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80724c1 |
Quadratic twists by: -31 |