Atkin-Lehner |
2- 3- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
95550kn |
Isogeny class |
Conductor |
95550 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-702585121875000 = -1 · 23 · 3 · 58 · 78 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 2 13+ 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-80263,8838017] |
[a1,a2,a3,a4,a6] |
Generators |
[-248:3799:1] |
Generators of the group modulo torsion |
j |
-1244290945/15288 |
j-invariant |
L |
14.068695853392 |
L(r)(E,1)/r! |
Ω |
0.51046864730074 |
Real period |
R |
1.5311306918817 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012178 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95550be1 13650cg1 |
Quadratic twists by: 5 -7 |