Atkin-Lehner |
2+ 3- 5- 19+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
90630bf |
Isogeny class |
Conductor |
90630 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
307200 |
Modular degree for the optimal curve |
Δ |
-39393802237500 = -1 · 22 · 310 · 55 · 19 · 532 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 -4 -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,8271,83785] |
[a1,a2,a3,a4,a6] |
Generators |
[71:-1048:1] [-4:227:1] |
Generators of the group modulo torsion |
j |
85830315739631/54038137500 |
j-invariant |
L |
7.5246544481501 |
L(r)(E,1)/r! |
Ω |
0.40132283624122 |
Real period |
R |
0.93748146983493 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000026 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30210r1 |
Quadratic twists by: -3 |