Atkin-Lehner |
2+ 3- 5- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
41400w |
Isogeny class |
Conductor |
41400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
54720 |
Modular degree for the optimal curve |
Δ |
-493620480000 = -1 · 211 · 36 · 54 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 -3 -2 1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5475,159550] |
[a1,a2,a3,a4,a6] |
Generators |
[402:851:8] |
Generators of the group modulo torsion |
j |
-19450850/529 |
j-invariant |
L |
6.6348081010082 |
L(r)(E,1)/r! |
Ω |
0.92886013422452 |
Real period |
R |
3.5714785555697 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999928 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82800cf1 4600n1 41400cc1 |
Quadratic twists by: -4 -3 5 |