Atkin-Lehner |
2- 5- 17+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
118490t |
Isogeny class |
Conductor |
118490 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
4718592 |
Modular degree for the optimal curve |
Δ |
468592320644710400 = 216 · 52 · 178 · 41 |
Discriminant |
Eigenvalues |
2- 2 5- 2 6 -6 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1758860,896494765] |
[a1,a2,a3,a4,a6] |
Generators |
[605:7065:1] |
Generators of the group modulo torsion |
j |
24930099747662689/19413401600 |
j-invariant |
L |
19.444731464612 |
L(r)(E,1)/r! |
Ω |
0.29347643716948 |
Real period |
R |
4.1410333598407 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999991132 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6970f1 |
Quadratic twists by: 17 |