Atkin-Lehner |
2+ 3- 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
73800l |
Isogeny class |
Conductor |
73800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
844800 |
Modular degree for the optimal curve |
Δ |
-1134847968750000 = -1 · 24 · 311 · 510 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -1 4 7 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1683750,840940625] |
[a1,a2,a3,a4,a6] |
j |
-4634565068800/9963 |
j-invariant |
L |
1.6839366564797 |
L(r)(E,1)/r! |
Ω |
0.42098416181835 |
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 |
24600v1 73800cq1 |
Quadratic twists by: -3 5 |