Atkin-Lehner |
2+ 3- 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
123840ce |
Isogeny class |
Conductor |
123840 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
135168 |
Modular degree for the optimal curve |
Δ |
-468008202240 = -1 · 212 · 312 · 5 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 0 4 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1932,-3872] |
[a1,a2,a3,a4,a6] |
Generators |
[102:1120:1] |
Generators of the group modulo torsion |
j |
267089984/156735 |
j-invariant |
L |
8.3673493020552 |
L(r)(E,1)/r! |
Ω |
0.55007593528294 |
Real period |
R |
3.8028155722936 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999659434 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123840br1 61920w1 41280bu1 |
Quadratic twists by: -4 8 -3 |