Atkin-Lehner |
2- 3+ 5- 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
89040bi |
Isogeny class |
Conductor |
89040 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-463908372480000 = -1 · 222 · 32 · 54 · 7 · 532 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 0 -4 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,4080,-1032768] |
[a1,a2,a3,a4,a6] |
Generators |
[194:-2650:1] |
Generators of the group modulo torsion |
j |
1833318007919/113258880000 |
j-invariant |
L |
5.1796865881617 |
L(r)(E,1)/r! |
Ω |
0.25132179519309 |
Real period |
R |
1.2881111707566 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999974451 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11130be1 |
Quadratic twists by: -4 |