Atkin-Lehner |
2+ 3- 23+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
42642f |
Isogeny class |
Conductor |
42642 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
346112 |
Modular degree for the optimal curve |
Δ |
44054358645168 = 24 · 319 · 23 · 103 |
Discriminant |
Eigenvalues |
2+ 3- 4 -5 -5 3 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-17775,-849987] |
[a1,a2,a3,a4,a6] |
Generators |
[-66:213:1] |
Generators of the group modulo torsion |
j |
851998353404401/60431218992 |
j-invariant |
L |
4.3712214783216 |
L(r)(E,1)/r! |
Ω |
0.41532045465247 |
Real period |
R |
2.631234164699 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14214h1 |
Quadratic twists by: -3 |