Atkin-Lehner |
2+ 3- 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
73206z |
Isogeny class |
Conductor |
73206 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1179648 |
Modular degree for the optimal curve |
Δ |
-118138037008271616 = -1 · 28 · 39 · 710 · 83 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- 5 2 8 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,120384,3843328] |
[a1,a2,a3,a4,a6] |
j |
2249635843727/1377444096 |
j-invariant |
L |
1.6359604872702 |
L(r)(E,1)/r! |
Ω |
0.20449506211304 |
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 |
24402v1 10458o1 |
Quadratic twists by: -3 -7 |