Atkin-Lehner |
2- 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
126350ca |
Isogeny class |
Conductor |
126350 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-19205200 = -1 · 24 · 52 · 7 · 193 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ 0 -3 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,65,-73] |
[a1,a2,a3,a4,a6] |
Generators |
[5:-22:1] [173:2186:1] |
Generators of the group modulo torsion |
j |
179685/112 |
j-invariant |
L |
16.8276809176 |
L(r)(E,1)/r! |
Ω |
1.25115451735 |
Real period |
R |
1.6812152988197 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999949791 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126350bk1 126350a1 |
Quadratic twists by: 5 -19 |