Atkin-Lehner |
3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
1575d |
Isogeny class |
Conductor |
1575 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
8103375 = 33 · 53 · 74 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7- 0 -4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-65,162] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:20:1] |
Generators of the group modulo torsion |
j |
8869743/2401 |
j-invariant |
L |
1.8778075022872 |
L(r)(E,1)/r! |
Ω |
2.1773766856982 |
Real period |
R |
0.21560434565839 |
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 |
25200df2 100800ch2 1575c2 1575a2 |
Quadratic twists by: -4 8 -3 5 |