Atkin-Lehner |
2- 3- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
58464bc |
Isogeny class |
Conductor |
58464 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
-3001052174045184 = -1 · 212 · 36 · 72 · 295 |
Discriminant |
Eigenvalues |
2- 3- -1 7- -3 3 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,33252,-1224736] |
[a1,a2,a3,a4,a6] |
j |
1361725440704/1005046301 |
j-invariant |
L |
2.0205829954792 |
L(r)(E,1)/r! |
Ω |
0.2525728747512 |
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 |
58464h1 116928cg1 6496g1 |
Quadratic twists by: -4 8 -3 |