Atkin-Lehner |
2- 3- 7+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
70224cm |
Isogeny class |
Conductor |
70224 |
Conductor |
∏ cp |
49 |
Product of Tamagawa factors cp |
deg |
1072512 |
Modular degree for the optimal curve |
Δ |
-71102564577563904 = -1 · 28 · 37 · 73 · 117 · 19 |
Discriminant |
Eigenvalues |
2- 3- 3 7+ 11- 6 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-356004,-82877256] |
[a1,a2,a3,a4,a6] |
j |
-19491694670039651152/277744392881109 |
j-invariant |
L |
4.7844697846478 |
L(r)(E,1)/r! |
Ω |
0.097642240676399 |
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 |
17556f1 |
Quadratic twists by: -4 |