Atkin-Lehner |
2- 5+ 19- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
29450o |
Isogeny class |
Conductor |
29450 |
Conductor |
∏ cp |
252 |
Product of Tamagawa factors cp |
deg |
1354752 |
Modular degree for the optimal curve |
Δ |
-5.4433024E+20 |
Discriminant |
Eigenvalues |
2- -2 5+ 3 -4 3 1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-814713,1157575417] |
[a1,a2,a3,a4,a6] |
Generators |
[6122:471939:1] |
Generators of the group modulo torsion |
j |
-3827521668636130249/34837135360000000 |
j-invariant |
L |
6.3010789260939 |
L(r)(E,1)/r! |
Ω |
0.14040808368703 |
Real period |
R |
0.17808291941715 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5890a1 |
Quadratic twists by: 5 |