Atkin-Lehner |
2+ 3+ 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
89280w |
Isogeny class |
Conductor |
89280 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
66560 |
Modular degree for the optimal curve |
Δ |
-85708800000 = -1 · 215 · 33 · 55 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -1 5 0 -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,948,-8496] |
[a1,a2,a3,a4,a6] |
Generators |
[18:120:1] |
Generators of the group modulo torsion |
j |
106496424/96875 |
j-invariant |
L |
7.5122443969108 |
L(r)(E,1)/r! |
Ω |
0.59095819162845 |
Real period |
R |
0.31779931708309 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010574 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89280o1 44640ba1 89280k1 |
Quadratic twists by: -4 8 -3 |