Atkin-Lehner |
2+ 3+ 5- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
63840h |
Isogeny class |
Conductor |
63840 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-357571210752000 = -1 · 212 · 37 · 53 · 75 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ -2 -2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,4115,902725] |
[a1,a2,a3,a4,a6] |
j |
1880908803584/87297658875 |
j-invariant |
L |
2.4489830554904 |
L(r)(E,1)/r! |
Ω |
0.40816384292567 |
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 |
63840x1 127680fb1 |
Quadratic twists by: -4 8 |