Atkin-Lehner |
2+ 5- 17- 73- |
Signs for the Atkin-Lehner involutions |
Class |
12410i |
Isogeny class |
Conductor |
12410 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-5252538655360000 = -1 · 210 · 54 · 172 · 734 |
Discriminant |
Eigenvalues |
2+ 2 5- -2 6 2 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-41722,-4804716] |
[a1,a2,a3,a4,a6] |
j |
-8032215145836387241/5252538655360000 |
j-invariant |
L |
2.5961807285763 |
L(r)(E,1)/r! |
Ω |
0.16226129553602 |
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 |
99280be2 111690bl2 62050t2 |
Quadratic twists by: -4 -3 5 |