Atkin-Lehner |
2- 3- 5- 19- 71- |
Signs for the Atkin-Lehner involutions |
Class |
121410br |
Isogeny class |
Conductor |
121410 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
262144 |
Modular degree for the optimal curve |
Δ |
-1076255942400 = -1 · 28 · 38 · 52 · 192 · 71 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 -6 -4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,2083,-34459] |
[a1,a2,a3,a4,a6] |
Generators |
[158:867:8] [21:124:1] |
Generators of the group modulo torsion |
j |
1371700960631/1476345600 |
j-invariant |
L |
16.779437439773 |
L(r)(E,1)/r! |
Ω |
0.47210934182939 |
Real period |
R |
1.1106694441032 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999951814 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40470v1 |
Quadratic twists by: -3 |