Atkin-Lehner |
2- 3- 5+ 11- 73- |
Signs for the Atkin-Lehner involutions |
Class |
120450cg |
Isogeny class |
Conductor |
120450 |
Conductor |
∏ cp |
483 |
Product of Tamagawa factors cp |
deg |
4961376 |
Modular degree for the optimal curve |
Δ |
1962636889345228800 = 223 · 37 · 52 · 11 · 733 |
Discriminant |
Eigenvalues |
2- 3- 5+ -5 11- 2 2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2245783,-1293820183] |
[a1,a2,a3,a4,a6] |
Generators |
[-862:-883:1] |
Generators of the group modulo torsion |
j |
50105694436013099207065/78505475573809152 |
j-invariant |
L |
12.526487592555 |
L(r)(E,1)/r! |
Ω |
0.12333844644548 |
Real period |
R |
0.21027309562842 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999908664 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120450t1 |
Quadratic twists by: 5 |