Atkin-Lehner |
2- 7- 11- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
13706k |
Isogeny class |
Conductor |
13706 |
Conductor |
∏ cp |
400 |
Product of Tamagawa factors cp |
deg |
300800 |
Modular degree for the optimal curve |
Δ |
-3189742980543021056 = -1 · 220 · 710 · 112 · 89 |
Discriminant |
Eigenvalues |
2- -1 1 7- 11- 4 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-721160,250592649] |
[a1,a2,a3,a4,a6] |
j |
-41478079525508251866241/3189742980543021056 |
j-invariant |
L |
3.9573238409866 |
L(r)(E,1)/r! |
Ω |
0.24733274006166 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
5 |
Number of elements in the torsion subgroup |
Twists |
109648e1 123354t1 95942bb1 |
Quadratic twists by: -4 -3 -7 |