Atkin-Lehner |
2- 3- 11+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
74646be |
Isogeny class |
Conductor |
74646 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
23469370630992 = 24 · 38 · 112 · 133 · 292 |
Discriminant |
Eigenvalues |
2- 3- 0 0 11+ 13+ 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-204162800,-1122776437885] |
[a1,a2,a3,a4,a6] |
Generators |
[3461435247:383585767325:148877] |
Generators of the group modulo torsion |
j |
1290999343784786961364509625/32193924048 |
j-invariant |
L |
10.307993112978 |
L(r)(E,1)/r! |
Ω |
0.039939755465279 |
Real period |
R |
16.130533650268 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000698 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24882q2 |
Quadratic twists by: -3 |