Atkin-Lehner |
2- 5- 7+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
39760v |
Isogeny class |
Conductor |
39760 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
19760720 = 24 · 5 · 72 · 712 |
Discriminant |
Eigenvalues |
2- 2 5- 7+ 4 0 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-105,392] |
[a1,a2,a3,a4,a6] |
Generators |
[280:1596:125] |
Generators of the group modulo torsion |
j |
8077950976/1235045 |
j-invariant |
L |
9.2613621368919 |
L(r)(E,1)/r! |
Ω |
2.0748359831881 |
Real period |
R |
4.4636598805568 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9940h1 |
Quadratic twists by: -4 |