Atkin-Lehner |
2+ 3- 5- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
102240o |
Isogeny class |
Conductor |
102240 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
65536 |
Modular degree for the optimal curve |
Δ |
-18633240000 = -1 · 26 · 38 · 54 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 6 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-237,6716] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:90:1] |
Generators of the group modulo torsion |
j |
-31554496/399375 |
j-invariant |
L |
9.6033837711655 |
L(r)(E,1)/r! |
Ω |
1.0385439748975 |
Real period |
R |
1.1558711051316 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999950279 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
102240bu1 34080y1 |
Quadratic twists by: -4 -3 |