Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
35280de |
Isogeny class |
Conductor |
35280 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
3704400 = 24 · 33 · 52 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -4 -4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-168,-833] |
[a1,a2,a3,a4,a6] |
Generators |
[21:70:1] |
Generators of the group modulo torsion |
j |
3538944/25 |
j-invariant |
L |
4.1691524413772 |
L(r)(E,1)/r! |
Ω |
1.3266523814619 |
Real period |
R |
1.5713055279721 |
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 |
8820b1 35280dm1 35280do1 |
Quadratic twists by: -4 -3 -7 |