Atkin-Lehner |
3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
63525bh |
Isogeny class |
Conductor |
63525 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
362880 |
Modular degree for the optimal curve |
Δ |
-162151572515625 = -1 · 36 · 56 · 76 · 112 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ 11- -5 7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-80501,8805773] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:3091:1] |
Generators of the group modulo torsion |
j |
-30515071121161/85766121 |
j-invariant |
L |
8.0025911189851 |
L(r)(E,1)/r! |
Ω |
0.57659420976338 |
Real period |
R |
1.156589126264 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995449 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2541g1 63525bu1 |
Quadratic twists by: 5 -11 |