Atkin-Lehner |
2+ 3- 7- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
72618be |
Isogeny class |
Conductor |
72618 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
2661120 |
Modular degree for the optimal curve |
Δ |
-7.7816466742527E+19 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- 0 13- 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,580918,-388651588] |
[a1,a2,a3,a4,a6] |
j |
184281206604333047/661429053732096 |
j-invariant |
L |
4.128731362411 |
L(r)(E,1)/r! |
Ω |
0.098303127776053 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1482b1 |
Quadratic twists by: -7 |