Atkin-Lehner |
2- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
3850o |
Isogeny class |
Conductor |
3850 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
-33392128000000000 = -1 · 218 · 59 · 72 · 113 |
Discriminant |
Eigenvalues |
2- 2 5+ 7+ 11+ -2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,56787,7106531] |
[a1,a2,a3,a4,a6] |
j |
1296134247276791/2137096192000 |
j-invariant |
L |
4.5333155631592 |
L(r)(E,1)/r! |
Ω |
0.25185086461995 |
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 |
30800by3 123200bb3 34650r3 770b3 |
Quadratic twists by: -4 8 -3 5 |