Atkin-Lehner |
2- 3- 5+ 11- 73- |
Signs for the Atkin-Lehner involutions |
Class |
120450ce |
Isogeny class |
Conductor |
120450 |
Conductor |
∏ cp |
1512 |
Product of Tamagawa factors cp |
deg |
4790016 |
Modular degree for the optimal curve |
Δ |
-1.9762812485417E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11- 3 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4539108,3782809872] |
[a1,a2,a3,a4,a6] |
Generators |
[-504:77340:1] |
Generators of the group modulo torsion |
j |
-413709275303694404892265/7905124994166816768 |
j-invariant |
L |
14.594170604394 |
L(r)(E,1)/r! |
Ω |
0.17889251165791 |
Real period |
R |
0.053955467898445 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000068046 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120450p1 |
Quadratic twists by: 5 |