Atkin-Lehner |
2- 3+ 5- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
99450cg |
Isogeny class |
Conductor |
99450 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
242409375000 = 23 · 33 · 58 · 132 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5- 1 1 13- 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2555,-43053] |
[a1,a2,a3,a4,a6] |
Generators |
[-31:90:1] |
Generators of the group modulo torsion |
j |
174828915/22984 |
j-invariant |
L |
11.998982545931 |
L(r)(E,1)/r! |
Ω |
0.67735739292311 |
Real period |
R |
0.49206677947446 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999949418 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99450i1 99450a1 |
Quadratic twists by: -3 5 |