Atkin-Lehner |
2+ 3+ 5- 73- |
Signs for the Atkin-Lehner involutions |
Class |
105120c |
Isogeny class |
Conductor |
105120 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1124352 |
Modular degree for the optimal curve |
Δ |
-22450921875000000 = -1 · 26 · 39 · 512 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 4 -6 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-137997,-21006864] |
[a1,a2,a3,a4,a6] |
Generators |
[33507:6133050:1] |
Generators of the group modulo torsion |
j |
-230707323586368/17822265625 |
j-invariant |
L |
8.5066737954692 |
L(r)(E,1)/r! |
Ω |
0.12330507525994 |
Real period |
R |
5.7490697844201 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007239 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
105120d1 105120q1 |
Quadratic twists by: -4 -3 |