Atkin-Lehner |
2+ 3+ 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
71400u |
Isogeny class |
Conductor |
71400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
5062583531250000 = 24 · 34 · 59 · 76 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 0 2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-43083,-344088] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:207:1] |
Generators of the group modulo torsion |
j |
283009869824/162002673 |
j-invariant |
L |
5.5898338604886 |
L(r)(E,1)/r! |
Ω |
0.35925059206113 |
Real period |
R |
3.8899266859991 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000734 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
71400ec1 |
Quadratic twists by: 5 |