Atkin-Lehner |
2- 3+ 5- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
123840dz |
Isogeny class |
Conductor |
123840 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
486958694400 = 224 · 33 · 52 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 2 2 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4812,-124016] |
[a1,a2,a3,a4,a6] |
Generators |
[6098:476160:1] |
Generators of the group modulo torsion |
j |
1740992427/68800 |
j-invariant |
L |
9.7661891890724 |
L(r)(E,1)/r! |
Ω |
0.57461196048206 |
Real period |
R |
4.2490366980919 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999591131 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123840y1 30960u1 123840do1 |
Quadratic twists by: -4 8 -3 |