Atkin-Lehner |
2+ 3+ 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
7440d |
Isogeny class |
Conductor |
7440 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
-44640000 = -1 · 28 · 32 · 54 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 0 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,60,-288] |
[a1,a2,a3,a4,a6] |
Generators |
[9:30:1] |
Generators of the group modulo torsion |
j |
91765424/174375 |
j-invariant |
L |
3.7895374754006 |
L(r)(E,1)/r! |
Ω |
1.0577517590074 |
Real period |
R |
0.89565851418591 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3720g1 29760cj1 22320g1 37200u1 |
Quadratic twists by: -4 8 -3 5 |