Atkin-Lehner |
2- 3- 23- 67- |
Signs for the Atkin-Lehner involutions |
Class |
73968q |
Isogeny class |
Conductor |
73968 |
Conductor |
∏ cp |
78 |
Product of Tamagawa factors cp |
deg |
7083648 |
Modular degree for the optimal curve |
Δ |
-1.090246051247E+19 |
Discriminant |
Eigenvalues |
2- 3- 1 0 -3 -1 -1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-288650200,-1887678576364] |
[a1,a2,a3,a4,a6] |
Generators |
[96260:29364606:1] |
Generators of the group modulo torsion |
j |
-649350761110346053734931801/2661733523552256 |
j-invariant |
L |
7.7252044749075 |
L(r)(E,1)/r! |
Ω |
0.018313720976549 |
Real period |
R |
5.4080262072584 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001821 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9246a1 |
Quadratic twists by: -4 |