Atkin-Lehner |
2- 5+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
120400bn |
Isogeny class |
Conductor |
120400 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
127411200 |
Modular degree for the optimal curve |
Δ |
-3.6840806228861E+29 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- 1 -7 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1791306552,-1120705393168] |
[a1,a2,a3,a4,a6] |
Generators |
[128603791284:40330363322368:5545233] |
Generators of the group modulo torsion |
j |
6207739706686418986737717455/3597734983287246467104768 |
j-invariant |
L |
9.7555725060667 |
L(r)(E,1)/r! |
Ω |
0.017931504465014 |
Real period |
R |
6.8005814327382 |
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 |
15050c1 120400ce1 |
Quadratic twists by: -4 5 |