Atkin-Lehner |
2+ 3- 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
45120bb |
Isogeny class |
Conductor |
45120 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
159744 |
Modular degree for the optimal curve |
Δ |
-29980760064000 = -1 · 214 · 3 · 53 · 474 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 0 -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-11281,527375] |
[a1,a2,a3,a4,a6] |
Generators |
[721:19176:1] |
Generators of the group modulo torsion |
j |
-9691367618896/1829880375 |
j-invariant |
L |
7.6950983083097 |
L(r)(E,1)/r! |
Ω |
0.6349970174179 |
Real period |
R |
3.0295804929912 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45120bt1 5640f1 |
Quadratic twists by: -4 8 |