Atkin-Lehner |
2+ 3- 7- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
124488s |
Isogeny class |
Conductor |
124488 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
163840 |
Modular degree for the optimal curve |
Δ |
-1244932533936 = -1 · 24 · 38 · 7 · 13 · 194 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -4 13+ 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1374,-49975] |
[a1,a2,a3,a4,a6] |
Generators |
[601:14760:1] |
Generators of the group modulo torsion |
j |
24594409472/106732899 |
j-invariant |
L |
4.6524895890174 |
L(r)(E,1)/r! |
Ω |
0.43585491139767 |
Real period |
R |
5.3371999301859 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999648611 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41496t1 |
Quadratic twists by: -3 |