Atkin-Lehner |
2- 3+ 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
21420a |
Isogeny class |
Conductor |
21420 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2623350240000 = 28 · 39 · 54 · 72 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 2 2 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4023,-59778] |
[a1,a2,a3,a4,a6] |
Generators |
[702:18522:1] |
Generators of the group modulo torsion |
j |
1429033968/520625 |
j-invariant |
L |
4.9174160667256 |
L(r)(E,1)/r! |
Ω |
0.61772642384411 |
Real period |
R |
3.9802539416434 |
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 |
85680cv2 21420e2 107100f2 |
Quadratic twists by: -4 -3 5 |