Atkin-Lehner |
2- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
41650bp |
Isogeny class |
Conductor |
41650 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
-23120381480000000 = -1 · 29 · 57 · 76 · 173 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- 0 5 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,27537,7103417] |
[a1,a2,a3,a4,a6] |
Generators |
[-38:2469:1] |
Generators of the group modulo torsion |
j |
1256216039/12577280 |
j-invariant |
L |
10.830540391313 |
L(r)(E,1)/r! |
Ω |
0.27931145139395 |
Real period |
R |
1.0771070885262 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8330e2 850k2 |
Quadratic twists by: 5 -7 |