Atkin-Lehner |
2+ 3- 5- 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
108360u |
Isogeny class |
Conductor |
108360 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
-280869120000 = -1 · 211 · 36 · 54 · 7 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 3 6 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-867,27326] |
[a1,a2,a3,a4,a6] |
Generators |
[2:160:1] |
Generators of the group modulo torsion |
j |
-48275138/188125 |
j-invariant |
L |
8.9880825787242 |
L(r)(E,1)/r! |
Ω |
0.85231912335002 |
Real period |
R |
2.6363607038865 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000316 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12040e1 |
Quadratic twists by: -3 |