Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
58800im |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
-274565942028000000 = -1 · 28 · 35 · 56 · 710 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -2 -3 8 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,160067,-5237737] |
[a1,a2,a3,a4,a6] |
j |
401408/243 |
j-invariant |
L |
3.5928617058273 |
L(r)(E,1)/r! |
Ω |
0.17964308534802 |
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 |
14700d1 2352m1 58800ew1 |
Quadratic twists by: -4 5 -7 |