Atkin-Lehner |
2- 3- 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
11970cg |
Isogeny class |
Conductor |
11970 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
5746680172800 = 28 · 39 · 52 · 74 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -4 -6 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4757,52589] |
[a1,a2,a3,a4,a6] |
Generators |
[-63:346:1] |
Generators of the group modulo torsion |
j |
16327137318409/7882963200 |
j-invariant |
L |
7.1919732308042 |
L(r)(E,1)/r! |
Ω |
0.67555869320417 |
Real period |
R |
0.66537272252881 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
95760ex1 3990m1 59850bh1 83790es1 |
Quadratic twists by: -4 -3 5 -7 |