Atkin-Lehner |
2- 7- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
42224n |
Isogeny class |
Conductor |
42224 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
190080 |
Modular degree for the optimal curve |
Δ |
-5316307255820288 = -1 · 223 · 73 · 133 · 292 |
Discriminant |
Eigenvalues |
2- 1 -2 7- -3 13- -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,41216,1404340] |
[a1,a2,a3,a4,a6] |
Generators |
[252:5278:1] [42:1792:1] |
Generators of the group modulo torsion |
j |
1890387126561023/1297926576128 |
j-invariant |
L |
9.5009284914321 |
L(r)(E,1)/r! |
Ω |
0.27110322581846 |
Real period |
R |
0.48674205096748 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5278d1 |
Quadratic twists by: -4 |