Atkin-Lehner |
2+ 3+ 19+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
48336c |
Isogeny class |
Conductor |
48336 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
37632 |
Modular degree for the optimal curve |
Δ |
203528588544 = 28 · 37 · 193 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ 1 -1 2 0 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1500,5904] |
[a1,a2,a3,a4,a6] |
j |
1458972216016/795033549 |
j-invariant |
L |
1.7471207241584 |
L(r)(E,1)/r! |
Ω |
0.87356036209111 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24168s1 |
Quadratic twists by: -4 |