Atkin-Lehner |
2+ 3+ 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
9918c |
Isogeny class |
Conductor |
9918 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
102400 |
Modular degree for the optimal curve |
Δ |
48419880933491712 = 210 · 33 · 195 · 294 |
Discriminant |
Eigenvalues |
2+ 3+ -2 0 6 4 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-181668,27905104] |
[a1,a2,a3,a4,a6] |
Generators |
[-216:7660:1] |
Generators of the group modulo torsion |
j |
24558203724037297371/1793328923462656 |
j-invariant |
L |
3.225751352862 |
L(r)(E,1)/r! |
Ω |
0.35005880317383 |
Real period |
R |
4.6074421263164 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
79344t1 9918k1 |
Quadratic twists by: -4 -3 |