Atkin-Lehner |
3- 5+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
94815l |
Isogeny class |
Conductor |
94815 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
144000 |
Modular degree for the optimal curve |
Δ |
-57792112875 = -1 · 36 · 53 · 73 · 432 |
Discriminant |
Eigenvalues |
0 3- 5+ 7- -5 1 5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-30198,-2019866] |
[a1,a2,a3,a4,a6] |
Generators |
[1618:3049:8] |
Generators of the group modulo torsion |
j |
-12179700416512/231125 |
j-invariant |
L |
3.7795654016946 |
L(r)(E,1)/r! |
Ω |
0.18108168179456 |
Real period |
R |
5.2180394214696 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999960986 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10535d1 94815bd1 |
Quadratic twists by: -3 -7 |