Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
10080be |
Isogeny class |
Conductor |
10080 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1024 |
Modular degree for the optimal curve |
Δ |
302400 = 26 · 33 · 52 · 7 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 -4 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-33,68] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:10:1] |
Generators of the group modulo torsion |
j |
2299968/175 |
j-invariant |
L |
4.2294014737163 |
L(r)(E,1)/r! |
Ω |
3.002026585823 |
Real period |
R |
0.70442438679416 |
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 |
10080b1 20160u2 10080f1 50400b1 |
Quadratic twists by: -4 8 -3 5 |