Atkin-Lehner |
5+ 7- 89- |
Signs for the Atkin-Lehner involutions |
Class |
109025l |
Isogeny class |
Conductor |
109025 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4423680 |
Modular degree for the optimal curve |
Δ |
3.8361049134827E+21 |
Discriminant |
Eigenvalues |
-1 0 5+ 7- 0 -4 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4177480,-1384781478] |
[a1,a2,a3,a4,a6] |
Generators |
[407989812:-2062954690:185193] |
Generators of the group modulo torsion |
j |
4385897588651769/2086806640625 |
j-invariant |
L |
2.3300697505066 |
L(r)(E,1)/r! |
Ω |
0.11066494843877 |
Real period |
R |
10.527586870428 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000146371 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21805h1 15575a1 |
Quadratic twists by: 5 -7 |