Atkin-Lehner |
3+ 5- 11- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
109395f |
Isogeny class |
Conductor |
109395 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
264367785825 = 39 · 52 · 11 · 132 · 172 |
Discriminant |
Eigenvalues |
1 3+ 5- -2 11- 13- 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-25989,-1605952] |
[a1,a2,a3,a4,a6] |
Generators |
[308:4266:1] |
Generators of the group modulo torsion |
j |
98630339207427/13431275 |
j-invariant |
L |
7.085691945118 |
L(r)(E,1)/r! |
Ω |
0.37601479022598 |
Real period |
R |
4.7110460653438 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999338065 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
109395b1 |
Quadratic twists by: -3 |