Atkin-Lehner |
2+ 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
23520s |
Isogeny class |
Conductor |
23520 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
3953006400 = 26 · 3 · 52 · 77 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -2 0 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1290,-18012] |
[a1,a2,a3,a4,a6] |
j |
31554496/525 |
j-invariant |
L |
3.189497388979 |
L(r)(E,1)/r! |
Ω |
0.79737434724476 |
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 |
23520g1 47040eh2 70560cy1 117600es1 |
Quadratic twists by: -4 8 -3 5 |