Atkin-Lehner |
2+ 3+ 5+ 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
72150p |
Isogeny class |
Conductor |
72150 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
3041280 |
Modular degree for the optimal curve |
Δ |
2.025727082496E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 0 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-6899125,-6944097875] |
[a1,a2,a3,a4,a6] |
Generators |
[-1455:4790:1] |
Generators of the group modulo torsion |
j |
2324265979655584334161/12964653327974400 |
j-invariant |
L |
4.3097017960945 |
L(r)(E,1)/r! |
Ω |
0.093185192678884 |
Real period |
R |
2.3124391719608 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000342 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14430bm1 |
Quadratic twists by: 5 |