Atkin-Lehner |
2- 3+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
58800et |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
967680 |
Modular degree for the optimal curve |
Δ |
-5807171543040000000 = -1 · 219 · 310 · 57 · 74 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 1 -1 0 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-245408,-124946688] |
[a1,a2,a3,a4,a6] |
j |
-10637008249/37791360 |
j-invariant |
L |
1.5744220966148 |
L(r)(E,1)/r! |
Ω |
0.098401381043503 |
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 |
7350ch1 11760cb1 58800ic1 |
Quadratic twists by: -4 5 -7 |