Atkin-Lehner |
2- 3+ 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
71568y |
Isogeny class |
Conductor |
71568 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
-12554076315312 = -1 · 24 · 33 · 78 · 712 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 0 -6 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2640,162279] |
[a1,a2,a3,a4,a6] |
Generators |
[1333:48706:1] |
Generators of the group modulo torsion |
j |
4710334464000/29060361841 |
j-invariant |
L |
5.9453211592875 |
L(r)(E,1)/r! |
Ω |
0.51513086013217 |
Real period |
R |
1.4426725369399 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000915 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17892b1 71568bb1 |
Quadratic twists by: -4 -3 |