Atkin-Lehner |
2- 3+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
75072cd |
Isogeny class |
Conductor |
75072 |
Conductor |
∏ cp |
10 |
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] |
Generators |
[7455455:1816513964:125] |
Generators of the group modulo torsion |
j |
-1774286061290599638601/49736717160677376 |
j-invariant |
L |
4.1552510124548 |
L(r)(E,1)/r! |
Ω |
0.037598029416311 |
Real period |
R |
11.051778714513 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000835 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75072be1 18768v1 |
Quadratic twists by: -4 8 |