Atkin-Lehner |
2- 7+ 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
73346n |
Isogeny class |
Conductor |
73346 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
188160 |
Modular degree for the optimal curve |
Δ |
-5664434126624 = -1 · 25 · 7 · 138 · 31 |
Discriminant |
Eigenvalues |
2- 1 -1 7+ 2 13+ -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-30846,-2090908] |
[a1,a2,a3,a4,a6] |
j |
-672451615081/1173536 |
j-invariant |
L |
1.801044092609 |
L(r)(E,1)/r! |
Ω |
0.18010441019179 |
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 |
5642f1 |
Quadratic twists by: 13 |