Atkin-Lehner |
2+ 3- 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
84600s |
Isogeny class |
Conductor |
84600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
108000 |
Modular degree for the optimal curve |
Δ |
-5353593750000 = -1 · 24 · 36 · 510 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 3 4 -2 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1875,-115625] |
[a1,a2,a3,a4,a6] |
Generators |
[56262813:388402957:658503] |
Generators of the group modulo torsion |
j |
-6400/47 |
j-invariant |
L |
8.5908833847385 |
L(r)(E,1)/r! |
Ω |
0.32108859756393 |
Real period |
R |
13.377745971589 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9400i1 84600ca1 |
Quadratic twists by: -3 5 |