Atkin-Lehner |
2- 3- 5- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
96900bj |
Isogeny class |
Conductor |
96900 |
Conductor |
∏ cp |
90 |
Product of Tamagawa factors cp |
deg |
216000 |
Modular degree for the optimal curve |
Δ |
8339456250000 = 24 · 35 · 58 · 172 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 -6 0 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8958,-298287] |
[a1,a2,a3,a4,a6] |
Generators |
[-486:-1275:8] [-66:99:1] |
Generators of the group modulo torsion |
j |
12721120000/1334313 |
j-invariant |
L |
11.953180601309 |
L(r)(E,1)/r! |
Ω |
0.49405804789146 |
Real period |
R |
0.2688208771398 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000013 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96900f1 |
Quadratic twists by: 5 |