Atkin-Lehner |
2- 5- 13- 67- |
Signs for the Atkin-Lehner involutions |
Class |
69680bh |
Isogeny class |
Conductor |
69680 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
5004696320 = 28 · 5 · 13 · 673 |
Discriminant |
Eigenvalues |
2- 0 5- 3 0 13- 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-32087,-2212286] |
[a1,a2,a3,a4,a6] |
Generators |
[-24664530:249709:238328] |
Generators of the group modulo torsion |
j |
14271548234041296/19549595 |
j-invariant |
L |
7.9969177524057 |
L(r)(E,1)/r! |
Ω |
0.35671166513074 |
Real period |
R |
7.4728121090575 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000641 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17420j1 |
Quadratic twists by: -4 |