Atkin-Lehner |
2- 17- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
77248u |
Isogeny class |
Conductor |
77248 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
2571264 |
Modular degree for the optimal curve |
Δ |
26592754943393792 = 230 · 173 · 712 |
Discriminant |
Eigenvalues |
2- 0 -2 0 0 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-33023276,-73042956336] |
[a1,a2,a3,a4,a6] |
Generators |
[-13845230420:4904432:4173281] |
Generators of the group modulo torsion |
j |
15193025018461003992993/101443309568 |
j-invariant |
L |
4.4361203889496 |
L(r)(E,1)/r! |
Ω |
0.062978819571811 |
Real period |
R |
11.739715081823 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002646 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
77248j1 19312j1 |
Quadratic twists by: -4 8 |