Atkin-Lehner |
2- 7+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
108836d |
Isogeny class |
Conductor |
108836 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
677376 |
Modular degree for the optimal curve |
Δ |
-149916740832045824 = -1 · 28 · 74 · 139 · 23 |
Discriminant |
Eigenvalues |
2- -1 -1 7+ 3 13+ -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-14421,18645457] |
[a1,a2,a3,a4,a6] |
Generators |
[-69:4394:1] |
Generators of the group modulo torsion |
j |
-268435456/121324931 |
j-invariant |
L |
4.0969603292934 |
L(r)(E,1)/r! |
Ω |
0.26379234678199 |
Real period |
R |
0.64712522058339 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999875644 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8372f1 |
Quadratic twists by: 13 |