Atkin-Lehner |
2- 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
9310s |
Isogeny class |
Conductor |
9310 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
20592 |
Modular degree for the optimal curve |
Δ |
-114448947200 = -1 · 211 · 52 · 76 · 19 |
Discriminant |
Eigenvalues |
2- 3 5- 7- -4 1 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2337,-45839] |
[a1,a2,a3,a4,a6] |
j |
-11993263569/972800 |
j-invariant |
L |
7.5184675216787 |
L(r)(E,1)/r! |
Ω |
0.34174852371267 |
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 |
74480da1 83790bc1 46550q1 190a1 |
Quadratic twists by: -4 -3 5 -7 |