Atkin-Lehner |
2+ 3- 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
89280cx |
Isogeny class |
Conductor |
89280 |
Conductor |
∏ cp |
336 |
Product of Tamagawa factors cp |
deg |
2709504 |
Modular degree for the optimal curve |
Δ |
-1.2159097982208E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5- -3 -3 -2 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,653748,489966896] |
[a1,a2,a3,a4,a6] |
Generators |
[-458:9720:1] [1222:55800:1] |
Generators of the group modulo torsion |
j |
1293532570753912/5090071640625 |
j-invariant |
L |
10.58355652596 |
L(r)(E,1)/r! |
Ω |
0.13265739739872 |
Real period |
R |
0.23744382714138 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999423 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89280ck1 44640q1 29760k1 |
Quadratic twists by: -4 8 -3 |