Atkin-Lehner |
2- 3- 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
89280fy |
Isogeny class |
Conductor |
89280 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
32282219520 = 210 · 38 · 5 · 312 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 4 -4 -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-912,6136] |
[a1,a2,a3,a4,a6] |
Generators |
[30:76:1] |
Generators of the group modulo torsion |
j |
112377856/43245 |
j-invariant |
L |
6.2568262972469 |
L(r)(E,1)/r! |
Ω |
1.0653467007553 |
Real period |
R |
2.9365211761094 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006257 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89280cd1 22320br1 29760cp1 |
Quadratic twists by: -4 8 -3 |