Atkin-Lehner |
2- 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
30576df |
Isogeny class |
Conductor |
30576 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1548288 |
Modular degree for the optimal curve |
Δ |
-7.9845170004552E+19 |
Discriminant |
Eigenvalues |
2- 3- 4 7- 1 13- -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2920416,1967493492] |
[a1,a2,a3,a4,a6] |
Generators |
[1788:49650:1] |
Generators of the group modulo torsion |
j |
-2380771254001/69009408 |
j-invariant |
L |
9.1120347106228 |
L(r)(E,1)/r! |
Ω |
0.19211354460818 |
Real period |
R |
5.9288080970597 |
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 |
3822z1 122304ft1 91728gh1 30576bk1 |
Quadratic twists by: -4 8 -3 -7 |