Atkin-Lehner |
2- 3+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
28896i |
Isogeny class |
Conductor |
28896 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
148635938304 = 29 · 39 · 73 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 1 7- 2 7 -7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9000,331128] |
[a1,a2,a3,a4,a6] |
Generators |
[53:14:1] |
Generators of the group modulo torsion |
j |
157481496648008/290304567 |
j-invariant |
L |
5.9008468902594 |
L(r)(E,1)/r! |
Ω |
1.0300535244288 |
Real period |
R |
1.9095599566154 |
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 |
28896g1 57792br1 86688p1 |
Quadratic twists by: -4 8 -3 |