Atkin-Lehner |
2- 3+ 5- 23+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
42780d |
Isogeny class |
Conductor |
42780 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
350774610000 = 24 · 3 · 54 · 233 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 -4 2 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12425,-528198] |
[a1,a2,a3,a4,a6] |
j |
13259522191507456/21923413125 |
j-invariant |
L |
2.713419377438 |
L(r)(E,1)/r! |
Ω |
0.45223656291175 |
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 |
128340i1 |
Quadratic twists by: -3 |