Atkin-Lehner |
2- 3+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
89304h |
Isogeny class |
Conductor |
89304 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
535824 = 24 · 32 · 612 |
Discriminant |
Eigenvalues |
2- 3+ 1 -1 -4 -1 -1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-20,9] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:3:1] [0:3:1] |
Generators of the group modulo torsion |
j |
15616/9 |
j-invariant |
L |
9.7417577819651 |
L(r)(E,1)/r! |
Ω |
2.4911521678082 |
Real period |
R |
0.97763576105017 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.00000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89304a1 |
Quadratic twists by: 61 |