Atkin-Lehner |
2- 3- 5+ 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
45150cr |
Isogeny class |
Conductor |
45150 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
33600 |
Modular degree for the optimal curve |
Δ |
22123500000 = 25 · 3 · 56 · 73 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 1 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-938,-8508] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:30:1] |
Generators of the group modulo torsion |
j |
5841725401/1415904 |
j-invariant |
L |
11.101215730944 |
L(r)(E,1)/r! |
Ω |
0.87789607238831 |
Real period |
R |
2.5290500960419 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1806b1 |
Quadratic twists by: 5 |