Atkin-Lehner |
2- 7+ 17+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
78064b |
Isogeny class |
Conductor |
78064 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-521191403280400384 = -1 · 218 · 72 · 176 · 412 |
Discriminant |
Eigenvalues |
2- 0 2 7+ -4 -6 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,200461,3614130] |
[a1,a2,a3,a4,a6] |
Generators |
[23:2870:1] [423:12810:1] |
Generators of the group modulo torsion |
j |
217497085485448887/127243994941504 |
j-invariant |
L |
10.852118982671 |
L(r)(E,1)/r! |
Ω |
0.17752326347052 |
Real period |
R |
15.282671648998 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999608 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9758d2 |
Quadratic twists by: -4 |