Atkin-Lehner |
5- 7- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
109025r |
Isogeny class |
Conductor |
109025 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
798336 |
Modular degree for the optimal curve |
Δ |
24892036726535125 = 53 · 710 · 893 |
Discriminant |
Eigenvalues |
-1 -1 5- 7- 3 5 8 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-79283,3993156] |
[a1,a2,a3,a4,a6] |
Generators |
[645:14567:1] |
Generators of the group modulo torsion |
j |
1560895637/704969 |
j-invariant |
L |
3.9318742526696 |
L(r)(E,1)/r! |
Ω |
0.33898272617175 |
Real period |
R |
5.7995200472788 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000051988 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109025q1 109025p1 |
Quadratic twists by: 5 -7 |