Atkin-Lehner |
2+ 3+ 5- 7- 103- |
Signs for the Atkin-Lehner involutions |
Class |
108150v |
Isogeny class |
Conductor |
108150 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
104448 |
Modular degree for the optimal curve |
Δ |
7752192000 = 212 · 3 · 53 · 72 · 103 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 0 -4 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1470,-21900] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:15:1] [-170:225:8] |
Generators of the group modulo torsion |
j |
2813372539613/62017536 |
j-invariant |
L |
7.6534922335368 |
L(r)(E,1)/r! |
Ω |
0.77199476968839 |
Real period |
R |
4.9569586061693 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999998024 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
108150cl1 |
Quadratic twists by: 5 |