Atkin-Lehner |
2- 3+ 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
99960cv |
Isogeny class |
Conductor |
99960 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
411840 |
Modular degree for the optimal curve |
Δ |
-255095889012720 = -1 · 24 · 313 · 5 · 76 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 5 2 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-25300,-1720655] |
[a1,a2,a3,a4,a6] |
Generators |
[21709421316:2889794018789:1225043] |
Generators of the group modulo torsion |
j |
-951468070144/135517455 |
j-invariant |
L |
7.0559619572802 |
L(r)(E,1)/r! |
Ω |
0.18778983318968 |
Real period |
R |
18.786858259129 |
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 |
2040n1 |
Quadratic twists by: -7 |