Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
35280fo |
Isogeny class |
Conductor |
35280 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-19211611104000 = -1 · 28 · 36 · 53 · 77 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 3 1 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2352,215404] |
[a1,a2,a3,a4,a6] |
Generators |
[-42:490:1] |
Generators of the group modulo torsion |
j |
-65536/875 |
j-invariant |
L |
6.6634626433096 |
L(r)(E,1)/r! |
Ω |
0.58189165354168 |
Real period |
R |
0.95428169527669 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8820bb1 3920u1 5040bf1 |
Quadratic twists by: -4 -3 -7 |