Atkin-Lehner |
2+ 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
23520b |
Isogeny class |
Conductor |
23520 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-2151700443648000 = -1 · 212 · 36 · 53 · 78 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 2 4 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,20319,-1940175] |
[a1,a2,a3,a4,a6] |
j |
1925134784/4465125 |
j-invariant |
L |
1.9193275098047 |
L(r)(E,1)/r! |
Ω |
0.23991593872559 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23520p2 47040ha1 70560dz2 117600gt2 |
Quadratic twists by: -4 8 -3 5 |