Atkin-Lehner |
2- 3+ 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
127680dq |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-7394669936640000 = -1 · 217 · 36 · 54 · 73 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 2 6 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,41439,2550465] |
[a1,a2,a3,a4,a6] |
Generators |
[43:2100:1] |
Generators of the group modulo torsion |
j |
60038675812078/56416854375 |
j-invariant |
L |
6.441136340379 |
L(r)(E,1)/r! |
Ω |
0.27384740434407 |
Real period |
R |
1.9600746442245 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000150099 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127680ce2 31920p2 |
Quadratic twists by: -4 8 |