Atkin-Lehner |
3+ 5+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
10575a |
Isogeny class |
Conductor |
10575 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
31104 |
Modular degree for the optimal curve |
Δ |
-84921380859375 = -1 · 39 · 59 · 472 |
Discriminant |
Eigenvalues |
1 3+ 5+ -4 0 0 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-8817,548216] |
[a1,a2,a3,a4,a6] |
Generators |
[824:23088:1] |
Generators of the group modulo torsion |
j |
-246491883/276125 |
j-invariant |
L |
4.4346786117837 |
L(r)(E,1)/r! |
Ω |
0.55021152781308 |
Real period |
R |
2.0149880489646 |
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 |
10575c1 2115a1 |
Quadratic twists by: -3 5 |