Atkin-Lehner |
3- 5- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
103635bp |
Isogeny class |
Conductor |
103635 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
2952398208251953125 = 37 · 512 · 76 · 47 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- -4 -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-475187,-95074626] |
[a1,a2,a3,a4,a6] |
Generators |
[-418:5721:1] |
Generators of the group modulo torsion |
j |
138356873478361/34423828125 |
j-invariant |
L |
3.8354770862166 |
L(r)(E,1)/r! |
Ω |
0.18515222001333 |
Real period |
R |
0.43156799673891 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999933167 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34545b4 2115e3 |
Quadratic twists by: -3 -7 |