Atkin-Lehner |
2+ 3- 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
95550fo |
Isogeny class |
Conductor |
95550 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
253440 |
Modular degree for the optimal curve |
Δ |
-50184651562500 = -1 · 22 · 3 · 58 · 77 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -2 13- 1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,8549,154298] |
[a1,a2,a3,a4,a6] |
Generators |
[333:6154:1] |
Generators of the group modulo torsion |
j |
1503815/1092 |
j-invariant |
L |
5.9077645904297 |
L(r)(E,1)/r! |
Ω |
0.40321966103941 |
Real period |
R |
3.6628698667812 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010105 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95550gm1 13650r1 |
Quadratic twists by: 5 -7 |