Atkin-Lehner |
2+ 3+ 5+ 17+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
21930b |
Isogeny class |
Conductor |
21930 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
212400 |
Modular degree for the optimal curve |
Δ |
-535400390625000 = -1 · 23 · 3 · 515 · 17 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 1 -4 7 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-119538,15896892] |
[a1,a2,a3,a4,a6] |
j |
-188906692800760971049/535400390625000 |
j-invariant |
L |
0.52198608774519 |
L(r)(E,1)/r! |
Ω |
0.52198608774523 |
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 |
65790cw1 109650cx1 |
Quadratic twists by: -3 5 |