Atkin-Lehner |
2- 3+ 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
28050cf |
Isogeny class |
Conductor |
28050 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
12096 |
Modular degree for the optimal curve |
Δ |
-218116800 = -1 · 26 · 36 · 52 · 11 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 3 11- -6 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-28,701] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:27:1] |
Generators of the group modulo torsion |
j |
-97325545/8724672 |
j-invariant |
L |
7.5333668808585 |
L(r)(E,1)/r! |
Ω |
1.4588378105996 |
Real period |
R |
0.43032924485748 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84150bw1 28050bw1 |
Quadratic twists by: -3 5 |