Atkin-Lehner |
2- 3- 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
31920bx |
Isogeny class |
Conductor |
31920 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
10175045959680 = 228 · 3 · 5 · 7 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -4 -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-14000,-623532] |
[a1,a2,a3,a4,a6] |
Generators |
[-31224:43329:512] |
Generators of the group modulo torsion |
j |
74093292126001/2484142080 |
j-invariant |
L |
7.2798343013208 |
L(r)(E,1)/r! |
Ω |
0.43980256489433 |
Real period |
R |
8.2762526670005 |
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 |
3990u1 127680ee1 95760dm1 |
Quadratic twists by: -4 8 -3 |