Atkin-Lehner |
2- 3- 5- 11+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
60390bf |
Isogeny class |
Conductor |
60390 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-12582022768959600 = -1 · 24 · 318 · 52 · 113 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 11+ -4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-28517,-5699059] |
[a1,a2,a3,a4,a6] |
Generators |
[2142:18203:8] |
Generators of the group modulo torsion |
j |
-3517980380680969/17259290492400 |
j-invariant |
L |
8.3325123214322 |
L(r)(E,1)/r! |
Ω |
0.16599277948794 |
Real period |
R |
6.2747551031693 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999979 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20130g1 |
Quadratic twists by: -3 |