Atkin-Lehner |
2+ 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
126350i |
Isogeny class |
Conductor |
126350 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1157328 |
Modular degree for the optimal curve |
Δ |
-166438917801800 = -1 · 23 · 52 · 72 · 198 |
Discriminant |
Eigenvalues |
2+ 3 5+ 7+ 4 4 -7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-10717,-750739] |
[a1,a2,a3,a4,a6] |
Generators |
[176140917624339:3235670470679957:452454197733] |
Generators of the group modulo torsion |
j |
-320625/392 |
j-invariant |
L |
10.331797257902 |
L(r)(E,1)/r! |
Ω |
0.22418812346357 |
Real period |
R |
23.042695345056 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126350dp1 126350cq1 |
Quadratic twists by: 5 -19 |