Atkin-Lehner |
2+ 3+ 5- 19+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
105450r |
Isogeny class |
Conductor |
105450 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1451520 |
Modular degree for the optimal curve |
Δ |
-37633243148437500 = -1 · 22 · 33 · 59 · 194 · 372 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 -6 -6 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,66175,6674625] |
[a1,a2,a3,a4,a6] |
Generators |
[160:-4705:1] |
Generators of the group modulo torsion |
j |
16408363501531/19268220492 |
j-invariant |
L |
1.391458791143 |
L(r)(E,1)/r! |
Ω |
0.24367820855792 |
Real period |
R |
1.4275576926432 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999031057 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
105450cn1 |
Quadratic twists by: 5 |