Atkin-Lehner |
2+ 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
49686o |
Isogeny class |
Conductor |
49686 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
169344 |
Modular degree for the optimal curve |
Δ |
-8633693951064 = -1 · 23 · 33 · 72 · 138 |
Discriminant |
Eigenvalues |
2+ 3+ 3 7- -3 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3721,-167747] |
[a1,a2,a3,a4,a6] |
j |
-24100657/36504 |
j-invariant |
L |
0.58007301398625 |
L(r)(E,1)/r! |
Ω |
0.29003650764354 |
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 |
49686z1 3822t1 |
Quadratic twists by: -7 13 |