Atkin-Lehner |
2- 3- 5+ 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
44370bf |
Isogeny class |
Conductor |
44370 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
54614054209957380 = 22 · 318 · 5 · 172 · 293 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -4 0 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-97223,-3093829] |
[a1,a2,a3,a4,a6] |
Generators |
[-3756:101143:64] |
Generators of the group modulo torsion |
j |
139411644372734761/74916398093220 |
j-invariant |
L |
6.9256265027978 |
L(r)(E,1)/r! |
Ω |
0.28776392800382 |
Real period |
R |
6.0167604664878 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000028 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14790m1 |
Quadratic twists by: -3 |