Atkin-Lehner |
2- 3- 5- 7+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
45990ce |
Isogeny class |
Conductor |
45990 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
24192 |
Modular degree for the optimal curve |
Δ |
-1460274480 = -1 · 24 · 36 · 5 · 73 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -2 2 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,178,1549] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:37:1] |
Generators of the group modulo torsion |
j |
860085351/2003120 |
j-invariant |
L |
10.174888131754 |
L(r)(E,1)/r! |
Ω |
1.0535669883516 |
Real period |
R |
2.414390409971 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5110a1 |
Quadratic twists by: -3 |