Atkin-Lehner |
2- 3+ 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
39882bk |
Isogeny class |
Conductor |
39882 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
10368 |
Modular degree for the optimal curve |
Δ |
30629376 = 29 · 32 · 172 · 23 |
Discriminant |
Eigenvalues |
2- 3+ -1 -1 -2 -4 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-176,785] |
[a1,a2,a3,a4,a6] |
Generators |
[5:-11:1] [-3:37:1] |
Generators of the group modulo torsion |
j |
2086979041/105984 |
j-invariant |
L |
10.373284423522 |
L(r)(E,1)/r! |
Ω |
2.0610247873447 |
Real period |
R |
0.27961506461406 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119646v1 39882bx1 |
Quadratic twists by: -3 17 |