Atkin-Lehner |
2- 3- 5- 7+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
99540s |
Isogeny class |
Conductor |
99540 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
8128769841480960 = 28 · 314 · 5 · 75 · 79 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -5 -5 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-93432,-10100284] |
[a1,a2,a3,a4,a6] |
Generators |
[-140:486:1] |
Generators of the group modulo torsion |
j |
483329334943744/43556937165 |
j-invariant |
L |
5.4047793202264 |
L(r)(E,1)/r! |
Ω |
0.27464435944646 |
Real period |
R |
3.2798654874096 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999723679 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33180d1 |
Quadratic twists by: -3 |