Atkin-Lehner |
2- 3- 5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
107100cf |
Isogeny class |
Conductor |
107100 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
1214514000 = 24 · 36 · 53 · 72 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -6 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-360,2025] |
[a1,a2,a3,a4,a6] |
Generators |
[0:45:1] [-20:35:1] |
Generators of the group modulo torsion |
j |
3538944/833 |
j-invariant |
L |
10.938316177299 |
L(r)(E,1)/r! |
Ω |
1.4449563643462 |
Real period |
R |
0.63083313142736 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000013 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11900f1 107100cw1 |
Quadratic twists by: -3 5 |