Atkin-Lehner |
2- 5+ 7+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
40670j |
Isogeny class |
Conductor |
40670 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
616896 |
Modular degree for the optimal curve |
Δ |
-1588548563560 = -1 · 23 · 5 · 78 · 832 |
Discriminant |
Eigenvalues |
2- -2 5+ 7+ -3 -1 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4183621,3293295081] |
[a1,a2,a3,a4,a6] |
j |
-1404741462892934929/275560 |
j-invariant |
L |
0.98318062480609 |
L(r)(E,1)/r! |
Ω |
0.49159031240056 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
40670bb1 |
Quadratic twists by: -7 |