Atkin-Lehner |
2+ 3- 5+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
118440z |
Isogeny class |
Conductor |
118440 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
-116562726000 = -1 · 24 · 311 · 53 · 7 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -1 -4 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1623,-30053] |
[a1,a2,a3,a4,a6] |
j |
-40535147776/9993375 |
j-invariant |
L |
1.4850585358926 |
L(r)(E,1)/r! |
Ω |
0.37126450057613 |
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 |
39480bf1 |
Quadratic twists by: -3 |