Atkin-Lehner |
3+ 5+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
15075b |
Isogeny class |
Conductor |
15075 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1893796875 = -1 · 33 · 56 · 672 |
Discriminant |
Eigenvalues |
-1 3+ 5+ -4 4 -2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,295,-828] |
[a1,a2,a3,a4,a6] |
Generators |
[9:45:1] |
Generators of the group modulo torsion |
j |
6751269/4489 |
j-invariant |
L |
2.4861161796153 |
L(r)(E,1)/r! |
Ω |
0.84258039690931 |
Real period |
R |
1.4752990864342 |
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 |
15075a2 603a2 |
Quadratic twists by: -3 5 |