Atkin-Lehner |
2- 3+ 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
9840n |
Isogeny class |
Conductor |
9840 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2519040000 = 215 · 3 · 54 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 4 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-83976,-9338640] |
[a1,a2,a3,a4,a6] |
Generators |
[509:8918:1] |
Generators of the group modulo torsion |
j |
15989485458638089/615000 |
j-invariant |
L |
3.6549531381712 |
L(r)(E,1)/r! |
Ω |
0.28045315411378 |
Real period |
R |
6.5161562360044 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1230c4 39360da4 29520bv4 49200di4 |
Quadratic twists by: -4 8 -3 5 |