Atkin-Lehner |
2+ 3- 5+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
84270p |
Isogeny class |
Conductor |
84270 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
544320 |
Modular degree for the optimal curve |
Δ |
-532607467500000 = -1 · 25 · 33 · 57 · 534 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 1 -7 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-28149,-2132384] |
[a1,a2,a3,a4,a6] |
Generators |
[3033838:29179641:12167] |
Generators of the group modulo torsion |
j |
-312598556569/67500000 |
j-invariant |
L |
6.2285464595959 |
L(r)(E,1)/r! |
Ω |
0.18218831093078 |
Real period |
R |
11.395803304055 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999881199 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84270bf1 |
Quadratic twists by: 53 |