Atkin-Lehner |
2+ 3- 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
11970ba |
Isogeny class |
Conductor |
11970 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
224175257026560 = 220 · 38 · 5 · 73 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 4 -6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-58059,5350725] |
[a1,a2,a3,a4,a6] |
Generators |
[159:267:1] |
Generators of the group modulo torsion |
j |
29689921233686449/307510640640 |
j-invariant |
L |
3.8829162795657 |
L(r)(E,1)/r! |
Ω |
0.56180937766217 |
Real period |
R |
2.3038159880987 |
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 |
95760eq1 3990y1 59850eu1 83790be1 |
Quadratic twists by: -4 -3 5 -7 |