Atkin-Lehner |
2+ 3- 19- 43- |
Signs for the Atkin-Lehner involutions |
Class |
117648k |
Isogeny class |
Conductor |
117648 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
159744 |
Modular degree for the optimal curve |
Δ |
-2896964352 = -1 · 28 · 36 · 192 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 4 2 -3 5 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4068,99900] |
[a1,a2,a3,a4,a6] |
j |
-39893216256/15523 |
j-invariant |
L |
5.6169605879818 |
L(r)(E,1)/r! |
Ω |
1.40424005754 |
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 |
58824d1 13072a1 |
Quadratic twists by: -4 -3 |