Atkin-Lehner |
2- 3+ 5- 23+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
42780c |
Isogeny class |
Conductor |
42780 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
26523600 = 24 · 3 · 52 · 23 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 4 6 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-585,-5250] |
[a1,a2,a3,a4,a6] |
j |
1386160439296/1657725 |
j-invariant |
L |
3.8827543782105 |
L(r)(E,1)/r! |
Ω |
0.97068859452302 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
128340j1 |
Quadratic twists by: -3 |