Atkin-Lehner |
2+ 3- 5- 23- 43- |
Signs for the Atkin-Lehner involutions |
Class |
89010w |
Isogeny class |
Conductor |
89010 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
-2595160496659680 = -1 · 25 · 36 · 5 · 234 · 433 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 0 -3 -4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,2451,2449925] |
[a1,a2,a3,a4,a6] |
Generators |
[559:13072:1] |
Generators of the group modulo torsion |
j |
2233193956911/3559890941920 |
j-invariant |
L |
4.4671806635559 |
L(r)(E,1)/r! |
Ω |
0.35726748053012 |
Real period |
R |
0.52098928039491 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003131 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9890f1 |
Quadratic twists by: -3 |