Atkin-Lehner |
2+ 3- 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
75072br |
Isogeny class |
Conductor |
75072 |
Conductor |
∏ cp |
13 |
Product of Tamagawa factors cp |
deg |
74880 |
Modular degree for the optimal curve |
Δ |
39896338752 = 26 · 313 · 17 · 23 |
Discriminant |
Eigenvalues |
2+ 3- -2 5 -2 1 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2109,35325] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:243:1] |
Generators of the group modulo torsion |
j |
16217331171328/623380293 |
j-invariant |
L |
8.6305032820748 |
L(r)(E,1)/r! |
Ω |
1.1392641529879 |
Real period |
R |
0.58273128836559 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000029 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75072cl1 1173b1 |
Quadratic twists by: -4 8 |