Atkin-Lehner |
2- 3+ 5- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
28050cv |
Isogeny class |
Conductor |
28050 |
Conductor |
∏ cp |
612 |
Product of Tamagawa factors cp |
deg |
244800 |
Modular degree for the optimal curve |
Δ |
-283601387520000 = -1 · 217 · 32 · 54 · 113 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 11- -5 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-55438,5065931] |
[a1,a2,a3,a4,a6] |
Generators |
[305:3927:1] [169:-833:1] |
Generators of the group modulo torsion |
j |
-30148578968103025/453762220032 |
j-invariant |
L |
9.3876760332713 |
L(r)(E,1)/r! |
Ω |
0.54991459497792 |
Real period |
R |
0.027894040390511 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84150di1 28050bl1 |
Quadratic twists by: -3 5 |