Atkin-Lehner |
2- 3+ 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
99960cs |
Isogeny class |
Conductor |
99960 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
3457497047760 = 24 · 32 · 5 · 710 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 0 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-13295,-578808] |
[a1,a2,a3,a4,a6] |
Generators |
[-63:69:1] |
Generators of the group modulo torsion |
j |
138074404864/1836765 |
j-invariant |
L |
6.2700591367651 |
L(r)(E,1)/r! |
Ω |
0.44496345264333 |
Real period |
R |
3.5227944537591 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006978 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14280bq1 |
Quadratic twists by: -7 |