Atkin-Lehner |
2+ 3+ 17+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
102306d |
Isogeny class |
Conductor |
102306 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
4852224 |
Modular degree for the optimal curve |
Δ |
-1.3270270147658E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -5 6 2 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-978415,-412085747] |
[a1,a2,a3,a4,a6] |
j |
-4291411730937625/549776580552 |
j-invariant |
L |
0.90432285936299 |
L(r)(E,1)/r! |
Ω |
0.075360243130043 |
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 |
6018d1 |
Quadratic twists by: 17 |