Atkin-Lehner |
3+ 5+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
10575b |
Isogeny class |
Conductor |
10575 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
10368 |
Modular degree for the optimal curve |
Δ |
14454703125 = 39 · 56 · 47 |
Discriminant |
Eigenvalues |
-2 3+ 5+ -1 -3 0 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-2025,-34594] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:13:1] |
Generators of the group modulo torsion |
j |
2985984/47 |
j-invariant |
L |
1.8780137096557 |
L(r)(E,1)/r! |
Ω |
0.71237324447016 |
Real period |
R |
1.3181388578487 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10575d1 423d1 |
Quadratic twists by: -3 5 |