Atkin-Lehner |
2- 5- 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
4270j |
Isogeny class |
Conductor |
4270 |
Conductor |
∏ cp |
90 |
Product of Tamagawa factors cp |
deg |
4320 |
Modular degree for the optimal curve |
Δ |
-12242944000 = -1 · 215 · 53 · 72 · 61 |
Discriminant |
Eigenvalues |
2- -2 5- 7- 0 5 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,575,-375] |
[a1,a2,a3,a4,a6] |
Generators |
[2:27:1] |
Generators of the group modulo torsion |
j |
21022290802799/12242944000 |
j-invariant |
L |
4.2672112776581 |
L(r)(E,1)/r! |
Ω |
0.74898299205218 |
Real period |
R |
0.569734069123 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
34160bc1 38430m1 21350d1 29890q1 |
Quadratic twists by: -4 -3 5 -7 |