Atkin-Lehner |
2- 3+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
58800ey |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
967680 |
Modular degree for the optimal curve |
Δ |
-140084664300000000 = -1 · 28 · 35 · 58 · 78 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 4 -7 6 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-594533,177560937] |
[a1,a2,a3,a4,a6] |
j |
-1007878144/6075 |
j-invariant |
L |
1.315573866417 |
L(r)(E,1)/r! |
Ω |
0.32889346720542 |
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 |
14700bb1 11760cc1 58800iy1 |
Quadratic twists by: -4 5 -7 |