Atkin-Lehner |
2- 3+ 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
99960bz |
Isogeny class |
Conductor |
99960 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1108800 |
Modular degree for the optimal curve |
Δ |
-175570396863750000 = -1 · 24 · 35 · 57 · 76 · 173 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -1 6 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-139176,-28340199] |
[a1,a2,a3,a4,a6] |
Generators |
[66153693170012:978324423753041:118298461429] |
Generators of the group modulo torsion |
j |
-158384129218816/93270234375 |
j-invariant |
L |
5.6139191579142 |
L(r)(E,1)/r! |
Ω |
0.1203356340987 |
Real period |
R |
23.326087903893 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2040q1 |
Quadratic twists by: -7 |