Atkin-Lehner |
2- 3- 5- 19- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
121410bm |
Isogeny class |
Conductor |
121410 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
21626880 |
Modular degree for the optimal curve |
Δ |
-4.0498840880142E+24 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 0 6 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,15409093,93978574251] |
[a1,a2,a3,a4,a6] |
Generators |
[2699:392634:1] |
Generators of the group modulo torsion |
j |
555044034321879727479191/5555396554203332459520 |
j-invariant |
L |
14.513590361772 |
L(r)(E,1)/r! |
Ω |
0.057428981580846 |
Real period |
R |
4.2120400906981 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999962677 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40470l1 |
Quadratic twists by: -3 |