Atkin-Lehner |
2- 3+ 5+ 23+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
28290j |
Isogeny class |
Conductor |
28290 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
71680 |
Modular degree for the optimal curve |
Δ |
719588966400 = 214 · 34 · 52 · 232 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 -6 0 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2711,34733] |
[a1,a2,a3,a4,a6] |
Generators |
[-57:118:1] [-49:254:1] |
Generators of the group modulo torsion |
j |
2203546792136689/719588966400 |
j-invariant |
L |
8.7468846195174 |
L(r)(E,1)/r! |
Ω |
0.8327643780752 |
Real period |
R |
0.37512259726254 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
84870v1 |
Quadratic twists by: -3 |