Atkin-Lehner |
2- 5- 7- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
121030bh |
Isogeny class |
Conductor |
121030 |
Conductor |
∏ cp |
3192 |
Product of Tamagawa factors cp |
deg |
45147648 |
Modular degree for the optimal curve |
Δ |
-1.242486415625E+26 |
Discriminant |
Eigenvalues |
2- 1 5- 7- -6 13+ -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-30409835,-540168045775] |
[a1,a2,a3,a4,a6] |
Generators |
[9770:303865:1] |
Generators of the group modulo torsion |
j |
-9067170537984698663663287/362240937500000000000000 |
j-invariant |
L |
11.682986468429 |
L(r)(E,1)/r! |
Ω |
0.025670113036258 |
Real period |
R |
0.14258150968987 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000002586 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121030z1 |
Quadratic twists by: -7 |