Atkin-Lehner |
2- 3- 5- 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
108360bw |
Isogeny class |
Conductor |
108360 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
-30098777506560 = -1 · 28 · 313 · 5 · 73 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 2 1 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,7548,77236] |
[a1,a2,a3,a4,a6] |
Generators |
[20:486:1] |
Generators of the group modulo torsion |
j |
254830785536/161280315 |
j-invariant |
L |
8.9811622741644 |
L(r)(E,1)/r! |
Ω |
0.41091205506956 |
Real period |
R |
0.91069388343046 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999887007 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36120n1 |
Quadratic twists by: -3 |