Atkin-Lehner |
2+ 3+ 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
64416b |
Isogeny class |
Conductor |
64416 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
547200 |
Modular degree for the optimal curve |
Δ |
-303779116926912 = -1 · 26 · 3 · 1110 · 61 |
Discriminant |
Eigenvalues |
2+ 3+ 4 -4 11- 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-107306,13591368] |
[a1,a2,a3,a4,a6] |
Generators |
[172:440:1] |
Generators of the group modulo torsion |
j |
-2135107784025251776/4746548701983 |
j-invariant |
L |
5.9390527495591 |
L(r)(E,1)/r! |
Ω |
0.54646014565217 |
Real period |
R |
2.1736453413819 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000054 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64416f1 128832p1 |
Quadratic twists by: -4 8 |