Atkin-Lehner |
3+ 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
10575d |
Isogeny class |
Conductor |
10575 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
19828125 = 33 · 56 · 47 |
Discriminant |
Eigenvalues |
2 3+ 5+ -1 3 0 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-225,1281] |
[a1,a2,a3,a4,a6] |
j |
2985984/47 |
j-invariant |
L |
4.3389124607694 |
L(r)(E,1)/r! |
Ω |
2.1694562303847 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10575b1 423g1 |
Quadratic twists by: -3 5 |