Atkin-Lehner |
3+ 5- 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
43575i |
Isogeny class |
Conductor |
43575 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-379756125 = -1 · 32 · 53 · 72 · 832 |
Discriminant |
Eigenvalues |
1 3+ 5- 7- -4 0 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,180,225] |
[a1,a2,a3,a4,a6] |
Generators |
[0:15:1] |
Generators of the group modulo torsion |
j |
5115120067/3038049 |
j-invariant |
L |
5.3103525791102 |
L(r)(E,1)/r! |
Ω |
1.0327563087838 |
Real period |
R |
1.2854805470424 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43575r2 |
Quadratic twists by: 5 |