Atkin-Lehner |
2- 3+ 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
99960cq |
Isogeny class |
Conductor |
99960 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
35389440 |
Modular degree for the optimal curve |
Δ |
4.4590042863568E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 0 2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4632434095,121357749366400] |
[a1,a2,a3,a4,a6] |
Generators |
[959404245:-348752195:24389] |
Generators of the group modulo torsion |
j |
5840408678681577126692337664/23688069418125 |
j-invariant |
L |
6.7224577029584 |
L(r)(E,1)/r! |
Ω |
0.096516508953711 |
Real period |
R |
8.7063573180941 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999860023 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
14280br1 |
Quadratic twists by: -7 |