Atkin-Lehner |
2+ 3- 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
101430ba |
Isogeny class |
Conductor |
101430 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
465837561000000 = 26 · 310 · 56 · 73 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 -4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-23445,-905675] |
[a1,a2,a3,a4,a6] |
Generators |
[-890:4945:8] |
Generators of the group modulo torsion |
j |
5699846954647/1863000000 |
j-invariant |
L |
4.6195597650509 |
L(r)(E,1)/r! |
Ω |
0.39587925099873 |
Real period |
R |
2.9172782834912 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999951457 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33810cq1 101430cf1 |
Quadratic twists by: -3 -7 |