Atkin-Lehner |
2- 3+ 5+ 19- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
122550bp |
Isogeny class |
Conductor |
122550 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
4665600 |
Modular degree for the optimal curve |
Δ |
-3.3659362792969E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 -3 4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-62938,-882742969] |
[a1,a2,a3,a4,a6] |
Generators |
[24436235:1012779749:12167] |
Generators of the group modulo torsion |
j |
-1764586415983321/21541992187500000 |
j-invariant |
L |
9.1248161240355 |
L(r)(E,1)/r! |
Ω |
0.07786473281972 |
Real period |
R |
11.718804895129 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003046 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24510g1 |
Quadratic twists by: 5 |