Atkin-Lehner |
2- 3+ 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
88800bq |
Isogeny class |
Conductor |
88800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
15744 |
Modular degree for the optimal curve |
Δ |
1420800 = 29 · 3 · 52 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 6 1 -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-48,132] |
[a1,a2,a3,a4,a6] |
Generators |
[8:14:1] |
Generators of the group modulo torsion |
j |
975560/111 |
j-invariant |
L |
7.3907268412582 |
L(r)(E,1)/r! |
Ω |
2.6098018713617 |
Real period |
R |
1.4159555391625 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012875 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88800u1 88800z1 |
Quadratic twists by: -4 5 |