Atkin-Lehner |
2- 3- 17- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
101184bi |
Isogeny class |
Conductor |
101184 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
16640 |
Modular degree for the optimal curve |
Δ |
-3136704 = -1 · 26 · 3 · 17 · 312 |
Discriminant |
Eigenvalues |
2- 3- -1 -4 -3 3 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,29,71] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:3:1] [74:279:8] |
Generators of the group modulo torsion |
j |
40707584/49011 |
j-invariant |
L |
11.629040026164 |
L(r)(E,1)/r! |
Ω |
1.6887412377452 |
Real period |
R |
3.4431089166968 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999989815 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101184y1 50592c1 |
Quadratic twists by: -4 8 |