Atkin-Lehner |
2- 5- 7- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
113050cu |
Isogeny class |
Conductor |
113050 |
Conductor |
∏ cp |
45 |
Product of Tamagawa factors cp |
deg |
142560 |
Modular degree for the optimal curve |
Δ |
46305280000 = 215 · 54 · 7 · 17 · 19 |
Discriminant |
Eigenvalues |
2- 1 5- 7- 0 -4 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-6138,184292] |
[a1,a2,a3,a4,a6] |
Generators |
[-44:630:1] |
Generators of the group modulo torsion |
j |
40919354040625/74088448 |
j-invariant |
L |
12.093921803868 |
L(r)(E,1)/r! |
Ω |
1.1350314372011 |
Real period |
R |
2.1310285112748 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000028547 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
113050j1 |
Quadratic twists by: 5 |