Atkin-Lehner |
3- 5+ 29- 47- |
Signs for the Atkin-Lehner involutions |
Class |
102225o |
Isogeny class |
Conductor |
102225 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
83377265625 = 33 · 57 · 292 · 47 |
Discriminant |
Eigenvalues |
-1 3- 5+ 2 -4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3063,-64008] |
[a1,a2,a3,a4,a6] |
Generators |
[117:-1146:1] [93:630:1] |
Generators of the group modulo torsion |
j |
203401212841/5336145 |
j-invariant |
L |
9.0494466372937 |
L(r)(E,1)/r! |
Ω |
0.64277255257488 |
Real period |
R |
2.3464615909108 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999993834 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20445d1 |
Quadratic twists by: 5 |