Atkin-Lehner |
2+ 3- 5- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
19530x |
Isogeny class |
Conductor |
19530 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-1334887711718400 = -1 · 210 · 36 · 52 · 74 · 313 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 2 6 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-17934,-1981612] |
[a1,a2,a3,a4,a6] |
j |
-875066990644449/1831121689600 |
j-invariant |
L |
2.3218737950742 |
L(r)(E,1)/r! |
Ω |
0.19348948292285 |
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 |
2170j1 97650ee1 |
Quadratic twists by: -3 5 |