Atkin-Lehner |
2- 5- 19- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
40850l |
Isogeny class |
Conductor |
40850 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1021440 |
Modular degree for the optimal curve |
Δ |
-245316296524067500 = -1 · 22 · 54 · 192 · 437 |
Discriminant |
Eigenvalues |
2- 2 5- 4 5 7 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,116587,-18202169] |
[a1,a2,a3,a4,a6] |
j |
280410223581660575/392506074438508 |
j-invariant |
L |
10.620148215184 |
L(r)(E,1)/r! |
Ω |
0.16593981586269 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40850f1 |
Quadratic twists by: 5 |