Atkin-Lehner |
3+ 5+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
10575a |
Isogeny class |
Conductor |
10575 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
225854736328125 = 39 · 512 · 47 |
Discriminant |
Eigenvalues |
1 3+ 5+ -4 0 0 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-167442,26404091] |
[a1,a2,a3,a4,a6] |
Generators |
[6862:177819:8] |
Generators of the group modulo torsion |
j |
1688134559643/734375 |
j-invariant |
L |
4.4346786117837 |
L(r)(E,1)/r! |
Ω |
0.55021152781308 |
Real period |
R |
4.0299760979293 |
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 |
10575c2 2115a2 |
Quadratic twists by: -3 5 |