Atkin-Lehner |
2+ 3+ 5+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
39480d |
Isogeny class |
Conductor |
39480 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
20480 |
Modular degree for the optimal curve |
Δ |
135416400 = 24 · 3 · 52 · 74 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 4 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1191,-15420] |
[a1,a2,a3,a4,a6] |
Generators |
[43:105:1] |
Generators of the group modulo torsion |
j |
11687015225344/8463525 |
j-invariant |
L |
4.9601834316333 |
L(r)(E,1)/r! |
Ω |
0.81266229529163 |
Real period |
R |
1.5259054900088 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999974 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78960o1 118440cl1 |
Quadratic twists by: -4 -3 |