Atkin-Lehner |
2- 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
10890cc |
Isogeny class |
Conductor |
10890 |
Conductor |
∏ cp |
50 |
Product of Tamagawa factors cp |
deg |
19200 |
Modular degree for the optimal curve |
Δ |
26462700000 = 25 · 37 · 55 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 11- 7 -1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-7052,229551] |
[a1,a2,a3,a4,a6] |
Generators |
[41:69:1] |
Generators of the group modulo torsion |
j |
439632699649/300000 |
j-invariant |
L |
7.3076303832111 |
L(r)(E,1)/r! |
Ω |
1.1772418180283 |
Real period |
R |
0.12414833165628 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87120fr1 3630a1 54450bu1 10890x1 |
Quadratic twists by: -4 -3 5 -11 |