Atkin-Lehner |
3- 5- 29- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
102225u |
Isogeny class |
Conductor |
102225 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
130560 |
Modular degree for the optimal curve |
Δ |
2084431640625 = 33 · 59 · 292 · 47 |
Discriminant |
Eigenvalues |
-1 3- 5- -2 -4 2 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4513,93392] |
[a1,a2,a3,a4,a6] |
Generators |
[-73:224:1] [-64:380:1] |
Generators of the group modulo torsion |
j |
5204699837/1067229 |
j-invariant |
L |
8.1645044511248 |
L(r)(E,1)/r! |
Ω |
0.78191922026984 |
Real period |
R |
3.4805404613492 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000193 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
102225j1 |
Quadratic twists by: 5 |