Atkin-Lehner |
2+ 3- 5- |
Signs for the Atkin-Lehner involutions |
Class |
1440g |
Isogeny class |
Conductor |
1440 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
21257640000 = 26 · 312 · 54 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 -4 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2037,-34684] |
[a1,a2,a3,a4,a6] |
Generators |
[-28:20:1] |
Generators of the group modulo torsion |
j |
20034997696/455625 |
j-invariant |
L |
2.6753866085641 |
L(r)(E,1)/r! |
Ω |
0.71162812954329 |
Real period |
R |
1.8797645128792 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
1440n1 2880o2 480e1 7200bo1 |
Quadratic twists by: -4 8 -3 5 |