Atkin-Lehner |
2- 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
9920bj |
Isogeny class |
Conductor |
9920 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-7936000000 = -1 · 214 · 56 · 31 |
Discriminant |
Eigenvalues |
2- 2 5- 4 4 -4 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,495,497] |
[a1,a2,a3,a4,a6] |
j |
817036976/484375 |
j-invariant |
L |
4.8062326909531 |
L(r)(E,1)/r! |
Ω |
0.80103878182551 |
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 |
9920k2 2480d2 89280ew2 49600ck2 |
Quadratic twists by: -4 8 -3 5 |