Atkin-Lehner |
2+ 3- 7- 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
118482bb |
Isogeny class |
Conductor |
118482 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
39762817016832 = 210 · 32 · 77 · 132 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 0 13+ 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-20606,-1099024] |
[a1,a2,a3,a4,a6] |
Generators |
[389:6861:1] |
Generators of the group modulo torsion |
j |
8224059831625/337978368 |
j-invariant |
L |
6.3610786202548 |
L(r)(E,1)/r! |
Ω |
0.3994878078593 |
Real period |
R |
1.9903857178973 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003705 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16926d1 |
Quadratic twists by: -7 |