Atkin-Lehner |
2+ 3+ 5+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
28710b |
Isogeny class |
Conductor |
28710 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
192000 |
Modular degree for the optimal curve |
Δ |
93618817459200 = 210 · 33 · 52 · 115 · 292 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 11- -4 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-252570,48917300] |
[a1,a2,a3,a4,a6] |
Generators |
[260:750:1] [-433:8989:1] |
Generators of the group modulo torsion |
j |
65994266756699727867/3467363609600 |
j-invariant |
L |
5.6790307568921 |
L(r)(E,1)/r! |
Ω |
0.56812273214907 |
Real period |
R |
0.49980668221199 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28710z1 |
Quadratic twists by: -3 |