Atkin-Lehner |
2- 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
72600en |
Isogeny class |
Conductor |
72600 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-6534000 = -1 · 24 · 33 · 53 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 11- 0 -1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1448,20733] |
[a1,a2,a3,a4,a6] |
Generators |
[22:-3:1] |
Generators of the group modulo torsion |
j |
-1388397824/27 |
j-invariant |
L |
9.3263141104619 |
L(r)(E,1)/r! |
Ω |
2.1869419279459 |
Real period |
R |
0.35537882030257 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001478 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72600z1 72600ce1 |
Quadratic twists by: 5 -11 |