Atkin-Lehner |
2- 3- 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
21840cd |
Isogeny class |
Conductor |
21840 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
-15204448350000 = -1 · 24 · 32 · 55 · 7 · 136 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -4 13+ 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,5095,-123222] |
[a1,a2,a3,a4,a6] |
j |
914010221133824/950278021875 |
j-invariant |
L |
1.8980696894858 |
L(r)(E,1)/r! |
Ω |
0.37961393789715 |
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 |
5460c1 87360ej1 65520co1 109200ea1 |
Quadratic twists by: -4 8 -3 5 |