Atkin-Lehner |
2- 3- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
121296dc |
Isogeny class |
Conductor |
121296 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
28892160 |
Modular degree for the optimal curve |
Δ |
-2.1258689903682E+25 |
Discriminant |
Eigenvalues |
2- 3- -1 7- 0 1 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-340963176,2433330596916] |
[a1,a2,a3,a4,a6] |
Generators |
[7395:562464:1] |
Generators of the group modulo torsion |
j |
-174562192958689/846526464 |
j-invariant |
L |
8.9311232524386 |
L(r)(E,1)/r! |
Ω |
0.068423773611377 |
Real period |
R |
6.5263304876945 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000063125 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15162d1 121296ca1 |
Quadratic twists by: -4 -19 |