Atkin-Lehner |
2+ 3+ 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
21450f |
Isogeny class |
Conductor |
21450 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
19439330625000000 = 26 · 32 · 510 · 112 · 134 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 11- 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-9295000,-10911296000] |
[a1,a2,a3,a4,a6] |
j |
5683972151443376419201/1244117160000 |
j-invariant |
L |
1.3834299974697 |
L(r)(E,1)/r! |
Ω |
0.08646437484186 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
64350dj4 4290bc3 |
Quadratic twists by: -3 5 |