Atkin-Lehner |
2+ 3+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
108576b |
Isogeny class |
Conductor |
108576 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
78336 |
Modular degree for the optimal curve |
Δ |
-6173848512 = -1 · 26 · 39 · 132 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 4 0 -4 13+ 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,27,3780] |
[a1,a2,a3,a4,a6] |
Generators |
[530:4355:8] |
Generators of the group modulo torsion |
j |
1728/4901 |
j-invariant |
L |
9.3683711647612 |
L(r)(E,1)/r! |
Ω |
1.0536322884021 |
Real period |
R |
4.4457498500332 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999876752 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
108576t1 108576v1 |
Quadratic twists by: -4 -3 |