Atkin-Lehner |
2- 3+ 5- 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
64050cb |
Isogeny class |
Conductor |
64050 |
Conductor |
∏ cp |
156 |
Product of Tamagawa factors cp |
deg |
554112 |
Modular degree for the optimal curve |
Δ |
-13056155320320000 = -1 · 226 · 36 · 54 · 7 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -2 0 -1 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-20013,5596131] |
[a1,a2,a3,a4,a6] |
Generators |
[55:-2188:1] [-145:2412:1] |
Generators of the group modulo torsion |
j |
-1418344200390625/20889848512512 |
j-invariant |
L |
12.601985532904 |
L(r)(E,1)/r! |
Ω |
0.33725959395206 |
Real period |
R |
0.239524567998 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999638 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64050bb1 |
Quadratic twists by: 5 |