Atkin-Lehner |
2- 3+ 5- 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
70950bm |
Isogeny class |
Conductor |
70950 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
491520 |
Modular degree for the optimal curve |
Δ |
-4535434809600750 = -1 · 2 · 320 · 53 · 112 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5- -3 11+ 1 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-60368,6539231] |
[a1,a2,a3,a4,a6] |
j |
-194641082973012437/36283478476806 |
j-invariant |
L |
3.3447797960839 |
L(r)(E,1)/r! |
Ω |
0.41809747274251 |
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 |
70950r1 |
Quadratic twists by: 5 |