Atkin-Lehner |
2- 3- 5+ 17- 59- |
Signs for the Atkin-Lehner involutions |
Class |
90270y |
Isogeny class |
Conductor |
90270 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
112320 |
Modular degree for the optimal curve |
Δ |
-22849593750 = -1 · 2 · 36 · 56 · 17 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 0 5 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3983,-96019] |
[a1,a2,a3,a4,a6] |
Generators |
[3985463790:2757993029:54010152] |
Generators of the group modulo torsion |
j |
-9583516100521/31343750 |
j-invariant |
L |
8.5057831960651 |
L(r)(E,1)/r! |
Ω |
0.30042803222543 |
Real period |
R |
14.156107757356 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000122 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10030d1 |
Quadratic twists by: -3 |