Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
104040ch |
Isogeny class |
Conductor |
104040 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
61931520 |
Modular degree for the optimal curve |
Δ |
-8.5903565303572E+27 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 0 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-52634703,-4461691102702] |
[a1,a2,a3,a4,a6] |
Generators |
[1437864773395428908629033424842688515757573:209233020888630189668243648562087547831416030:50433236492264153495715681130112146349] |
Generators of the group modulo torsion |
j |
-3579968623693264/1906997690433375 |
j-invariant |
L |
8.6098310892078 |
L(r)(E,1)/r! |
Ω |
0.018553022166115 |
Real period |
R |
58.008279002467 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34680l1 6120z1 |
Quadratic twists by: -3 17 |