Atkin-Lehner |
2+ 3+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
19992i |
Isogeny class |
Conductor |
19992 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-4352818176 = -1 · 210 · 36 · 73 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 0 -6 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-464,-4836] |
[a1,a2,a3,a4,a6] |
Generators |
[58:400:1] |
Generators of the group modulo torsion |
j |
-31522396/12393 |
j-invariant |
L |
3.2486249563952 |
L(r)(E,1)/r! |
Ω |
0.50442873009128 |
Real period |
R |
3.2201030220933 |
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 |
39984y1 59976bh1 19992o1 |
Quadratic twists by: -4 -3 -7 |