Atkin-Lehner |
2- 3+ 7+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
71568x |
Isogeny class |
Conductor |
71568 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1580544 |
Modular degree for the optimal curve |
Δ |
-7.7235294802004E+19 |
Discriminant |
Eigenvalues |
2- 3+ 1 7+ 1 -3 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-162027,-423574758] |
[a1,a2,a3,a4,a6] |
Generators |
[58464171:2459621376:29791] |
Generators of the group modulo torsion |
j |
-5834916486027/957997924352 |
j-invariant |
L |
6.3472437824142 |
L(r)(E,1)/r! |
Ω |
0.086032830858128 |
Real period |
R |
9.2221244487213 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993992 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8946p1 71568w1 |
Quadratic twists by: -4 -3 |