Atkin-Lehner |
2+ 3+ 5- 23- 43- |
Signs for the Atkin-Lehner involutions |
Class |
89010h |
Isogeny class |
Conductor |
89010 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
328320 |
Modular degree for the optimal curve |
Δ |
-104475060252000 = -1 · 25 · 33 · 53 · 233 · 433 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 0 5 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-14844,-848592] |
[a1,a2,a3,a4,a6] |
j |
-13397668941162843/3869446676000 |
j-invariant |
L |
1.2784824763193 |
L(r)(E,1)/r! |
Ω |
0.21308041356431 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
89010bc2 |
Quadratic twists by: -3 |