Atkin-Lehner |
2- 3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
52800gd |
Isogeny class |
Conductor |
52800 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
7527168000000 = 214 · 35 · 56 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 11+ 6 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-129233,-17924337] |
[a1,a2,a3,a4,a6] |
Generators |
[418:1125:1] |
Generators of the group modulo torsion |
j |
932410994128/29403 |
j-invariant |
L |
8.8417064697229 |
L(r)(E,1)/r! |
Ω |
0.25180058794535 |
Real period |
R |
3.5113923052512 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000037 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52800bf2 13200bq2 2112t2 |
Quadratic twists by: -4 8 5 |