Atkin-Lehner |
2+ 11+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
66352a |
Isogeny class |
Conductor |
66352 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2019840 |
Modular degree for the optimal curve |
Δ |
-102000757500928 = -1 · 210 · 11 · 135 · 293 |
Discriminant |
Eigenvalues |
2+ 0 0 3 11+ 13+ 1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-88645595,-321243132902] |
[a1,a2,a3,a4,a6] |
Generators |
[5238102063532525108772218834456841425617:519278228739388266057096828666810674596316:319036074153075318789530867120744997] |
Generators of the group modulo torsion |
j |
-75230722668176367194146500/99610114747 |
j-invariant |
L |
6.2440497348163 |
L(r)(E,1)/r! |
Ω |
0.024601142078102 |
Real period |
R |
63.452844130093 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33176b1 |
Quadratic twists by: -4 |