Atkin-Lehner |
2+ 3- 5+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
99450bi |
Isogeny class |
Conductor |
99450 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
8377668000000 = 28 · 36 · 56 · 132 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 -2 13- 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-12267,507141] |
[a1,a2,a3,a4,a6] |
Generators |
[-90:981:1] [-27:918:1] |
Generators of the group modulo torsion |
j |
17923019113/735488 |
j-invariant |
L |
8.1765111677493 |
L(r)(E,1)/r! |
Ω |
0.72886690337284 |
Real period |
R |
2.8045282100302 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000347 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11050n1 3978h1 |
Quadratic twists by: -3 5 |