Atkin-Lehner |
2+ 5+ 17+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
99280a |
Isogeny class |
Conductor |
99280 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
31232 |
Modular degree for the optimal curve |
Δ |
487762640 = 24 · 5 · 174 · 73 |
Discriminant |
Eigenvalues |
2+ 0 5+ 0 -4 -6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-218,-637] |
[a1,a2,a3,a4,a6] |
Generators |
[-159:568:27] |
Generators of the group modulo torsion |
j |
71609923584/30485165 |
j-invariant |
L |
3.1548344318021 |
L(r)(E,1)/r! |
Ω |
1.2909415482958 |
Real period |
R |
4.8876487543799 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000002076 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49640e1 |
Quadratic twists by: -4 |