Atkin-Lehner |
2- 5+ 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
4270g |
Isogeny class |
Conductor |
4270 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
1280 |
Modular degree for the optimal curve |
Δ |
15303680 = 210 · 5 · 72 · 61 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 0 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-81,-215] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:11:1] |
Generators of the group modulo torsion |
j |
58818484369/15303680 |
j-invariant |
L |
3.7194458823299 |
L(r)(E,1)/r! |
Ω |
1.6219772160227 |
Real period |
R |
0.45863108872152 |
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 |
34160l1 38430u1 21350b1 29890ba1 |
Quadratic twists by: -4 -3 5 -7 |