Atkin-Lehner |
5+ 13+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
104975b |
Isogeny class |
Conductor |
104975 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1880064 |
Modular degree for the optimal curve |
Δ |
-154059013671875 = -1 · 510 · 132 · 173 · 19 |
Discriminant |
Eigenvalues |
2 3 5+ 4 -4 13+ 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-150175,22407781] |
[a1,a2,a3,a4,a6] |
Generators |
[28505730:837670877:287496] |
Generators of the group modulo torsion |
j |
-23971577132077056/9859776875 |
j-invariant |
L |
27.685137898174 |
L(r)(E,1)/r! |
Ω |
0.56754670427073 |
Real period |
R |
12.195092328021 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000022392 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20995e1 |
Quadratic twists by: 5 |