Atkin-Lehner |
2+ 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
41650x |
Isogeny class |
Conductor |
41650 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1572480 |
Modular degree for the optimal curve |
Δ |
-3.0172459087361E+20 |
Discriminant |
Eigenvalues |
2+ -1 5- 7- 4 -3 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,1662300,134644000] |
[a1,a2,a3,a4,a6] |
Generators |
[1260:64420:1] |
Generators of the group modulo torsion |
j |
11053587253415/6565418768 |
j-invariant |
L |
3.0578153550979 |
L(r)(E,1)/r! |
Ω |
0.10527632791253 |
Real period |
R |
4.8409353044675 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999967 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41650cb1 850d1 |
Quadratic twists by: 5 -7 |