Atkin-Lehner |
2+ 3+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
15870a |
Isogeny class |
Conductor |
15870 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
35328 |
Modular degree for the optimal curve |
Δ |
-11746647792150 = -1 · 2 · 3 · 52 · 238 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 1 3 -2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-11913,-531933] |
[a1,a2,a3,a4,a6] |
j |
-2387929/150 |
j-invariant |
L |
1.3659518504306 |
L(r)(E,1)/r! |
Ω |
0.22765864173843 |
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 |
126960cl1 47610ce1 79350dc1 15870e1 |
Quadratic twists by: -4 -3 5 -23 |