Atkin-Lehner |
2- 5+ 7+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
62300f |
Isogeny class |
Conductor |
62300 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
544320 |
Modular degree for the optimal curve |
Δ |
-29215292968750000 = -1 · 24 · 513 · 75 · 89 |
Discriminant |
Eigenvalues |
2- -2 5+ 7+ 5 -4 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-17533,8266188] |
[a1,a2,a3,a4,a6] |
Generators |
[163:3125:1] |
Generators of the group modulo torsion |
j |
-2384389341184/116861171875 |
j-invariant |
L |
3.5779764479637 |
L(r)(E,1)/r! |
Ω |
0.30908885380083 |
Real period |
R |
0.96465692730903 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000805 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12460c1 |
Quadratic twists by: 5 |