Atkin-Lehner |
2- 3+ 5- 17+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
104550bp |
Isogeny class |
Conductor |
104550 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
949760 |
Modular degree for the optimal curve |
Δ |
-31248949500000000 = -1 · 28 · 37 · 59 · 17 · 412 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 0 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,69487,4786031] |
[a1,a2,a3,a4,a6] |
j |
18997828753987/15999462144 |
j-invariant |
L |
1.9215064230983 |
L(r)(E,1)/r! |
Ω |
0.24018832092866 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
104550bf1 |
Quadratic twists by: 5 |