Atkin-Lehner |
2+ 3- 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
75072be |
Isogeny class |
Conductor |
75072 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5253120 |
Modular degree for the optimal curve |
Δ |
-1.3038181983369E+22 |
Discriminant |
Eigenvalues |
2+ 3- -1 -2 0 -4 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-16141601,25553372991] |
[a1,a2,a3,a4,a6] |
j |
-1774286061290599638601/49736717160677376 |
j-invariant |
L |
0.50277588218803 |
L(r)(E,1)/r! |
Ω |
0.12569397307211 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75072cd1 2346a1 |
Quadratic twists by: -4 8 |