Atkin-Lehner |
2- 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
126350cl |
Isogeny class |
Conductor |
126350 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
Δ |
-5.6352641731565E+27 |
Discriminant |
Eigenvalues |
2- 1 5+ 7+ 3 -4 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,444652537,-141977898583] |
[a1,a2,a3,a4,a6] |
Generators |
[10187506444714026:4817729026136017337:6369690780153] |
Generators of the group modulo torsion |
j |
101491576876511/58824500000 |
j-invariant |
L |
12.335020735643 |
L(r)(E,1)/r! |
Ω |
0.025400729003907 |
Real period |
R |
24.280839998225 |
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 |
25270f2 126350e2 |
Quadratic twists by: 5 -19 |