Atkin-Lehner |
2+ 5+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
107200j |
Isogeny class |
Conductor |
107200 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
3317760 |
Modular degree for the optimal curve |
Δ |
-3.45632027392E+20 |
Discriminant |
Eigenvalues |
2+ 0 5+ -1 1 -2 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6622700,6620654000] |
[a1,a2,a3,a4,a6] |
Generators |
[-1835:112225:1] [1046:28944:1] |
Generators of the group modulo torsion |
j |
-15685523123710482/168765638375 |
j-invariant |
L |
11.126761302686 |
L(r)(E,1)/r! |
Ω |
0.17135636590907 |
Real period |
R |
1.6233364375103 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999995544 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
107200bn1 13400k1 21440a1 |
Quadratic twists by: -4 8 5 |