Atkin-Lehner |
2+ 3+ 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
9918a |
Isogeny class |
Conductor |
9918 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
1816636658832 = 24 · 39 · 193 · 292 |
Discriminant |
Eigenvalues |
2+ 3+ 0 4 2 -6 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4902,116324] |
[a1,a2,a3,a4,a6] |
Generators |
[-64:438:1] |
Generators of the group modulo torsion |
j |
661914925875/92294704 |
j-invariant |
L |
3.738275795969 |
L(r)(E,1)/r! |
Ω |
0.80316433968114 |
Real period |
R |
2.327217240156 |
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 |
79344s1 9918i1 |
Quadratic twists by: -4 -3 |