Atkin-Lehner |
2+ 3+ 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
20280h |
Isogeny class |
Conductor |
20280 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
239616 |
Modular degree for the optimal curve |
Δ |
-9788768652000000 = -1 · 28 · 3 · 56 · 138 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -1 -2 13+ 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-723545,-236696643] |
[a1,a2,a3,a4,a6] |
j |
-200601496576/46875 |
j-invariant |
L |
1.964302077534 |
L(r)(E,1)/r! |
Ω |
0.081845919897248 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40560ba1 60840bk1 101400db1 20280o1 |
Quadratic twists by: -4 -3 5 13 |