Atkin-Lehner |
3- 5+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
15075i |
Isogeny class |
Conductor |
15075 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-377415489392578125 = -1 · 316 · 59 · 672 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 0 -4 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,73683,28518966] |
[a1,a2,a3,a4,a6] |
Generators |
[24852:675597:64] |
Generators of the group modulo torsion |
j |
3883959939959/33133870125 |
j-invariant |
L |
5.3771141960869 |
L(r)(E,1)/r! |
Ω |
0.22033001516034 |
Real period |
R |
6.1012048133498 |
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 |
5025e2 3015a2 |
Quadratic twists by: -3 5 |