Atkin-Lehner |
2- 5+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
88400ba |
Isogeny class |
Conductor |
88400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1327104 |
Modular degree for the optimal curve |
Δ |
11492000000000000 = 214 · 512 · 132 · 17 |
Discriminant |
Eigenvalues |
2- -2 5+ 2 0 13+ 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2217008,-1271300012] |
[a1,a2,a3,a4,a6] |
Generators |
[-101318574:9634064:117649] |
Generators of the group modulo torsion |
j |
18829800329506921/179562500 |
j-invariant |
L |
5.283260140122 |
L(r)(E,1)/r! |
Ω |
0.12372514509223 |
Real period |
R |
10.675396931691 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005602 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11050l1 17680l1 |
Quadratic twists by: -4 5 |