Atkin-Lehner |
2- 3+ 5- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
74160z |
Isogeny class |
Conductor |
74160 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
-222480000000000 = -1 · 213 · 33 · 510 · 103 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 -1 -4 -2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-31587,2276834] |
[a1,a2,a3,a4,a6] |
Generators |
[73:-600:1] |
Generators of the group modulo torsion |
j |
-31515568179003/2011718750 |
j-invariant |
L |
5.8472392499871 |
L(r)(E,1)/r! |
Ω |
0.55110526380142 |
Real period |
R |
0.13262528130854 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999997614 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9270d1 74160t1 |
Quadratic twists by: -4 -3 |