Atkin-Lehner |
2+ 3- 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
58464h |
Isogeny class |
Conductor |
58464 |
Conductor |
∏ cp |
4 |
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 |
1.1495189348448 |
L(r)(E,1)/r! |
Ω |
0.28737973388644 |
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 |
58464bc1 116928bi1 6496i1 |
Quadratic twists by: -4 8 -3 |