Atkin-Lehner |
3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
1575c |
Isogeny class |
Conductor |
1575 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
5907360375 = 39 · 53 · 74 |
Discriminant |
Eigenvalues |
1 3+ 5- 7- 0 -4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-582,-3799] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:43:1] |
Generators of the group modulo torsion |
j |
8869743/2401 |
j-invariant |
L |
3.411774210252 |
L(r)(E,1)/r! |
Ω |
0.9916373872777 |
Real period |
R |
0.86013654134658 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25200de2 100800cg2 1575d2 1575b2 |
Quadratic twists by: -4 8 -3 5 |