Atkin-Lehner |
2- 3+ 5- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
28050co |
Isogeny class |
Conductor |
28050 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
180960 |
Modular degree for the optimal curve |
Δ |
-2562126883593750 = -1 · 2 · 313 · 58 · 112 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 11+ 0 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-99138,-12300219] |
[a1,a2,a3,a4,a6] |
Generators |
[4100670:93106099:5832] |
Generators of the group modulo torsion |
j |
-275857255412545/6559044822 |
j-invariant |
L |
7.4337415503428 |
L(r)(E,1)/r! |
Ω |
0.13433805172129 |
Real period |
R |
9.2226804630719 |
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 |
84150do1 28050bc1 |
Quadratic twists by: -3 5 |