Atkin-Lehner |
2- 3- 5- 53- |
Signs for the Atkin-Lehner involutions |
Class |
127200dw |
Isogeny class |
Conductor |
127200 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-31800000000 = -1 · 29 · 3 · 58 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5- 3 0 -2 8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-208,8588] |
[a1,a2,a3,a4,a6] |
Generators |
[-806933:4562262:50653] |
Generators of the group modulo torsion |
j |
-5000/159 |
j-invariant |
L |
10.56178798022 |
L(r)(E,1)/r! |
Ω |
0.97679537152812 |
Real period |
R |
10.812692434534 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000005341 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127200cu1 127200c1 |
Quadratic twists by: -4 5 |