Atkin-Lehner |
2+ 3+ 5+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
28050m |
Isogeny class |
Conductor |
28050 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
9537000000 = 26 · 3 · 56 · 11 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 11- 0 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-4900,-134000] |
[a1,a2,a3,a4,a6] |
Generators |
[81:53:1] |
Generators of the group modulo torsion |
j |
832972004929/610368 |
j-invariant |
L |
3.8643382564807 |
L(r)(E,1)/r! |
Ω |
0.57063459519695 |
Real period |
R |
3.386000681528 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
84150et1 1122n1 |
Quadratic twists by: -3 5 |