Atkin-Lehner |
2- 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
39326h |
Isogeny class |
Conductor |
39326 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
943488 |
Modular degree for the optimal curve |
Δ |
-341681180977549168 = -1 · 24 · 73 · 538 |
Discriminant |
Eigenvalues |
2- -2 -4 7+ -4 2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-178430,40389556] |
[a1,a2,a3,a4,a6] |
j |
-28344726649/15415792 |
j-invariant |
L |
1.1288308228408 |
L(r)(E,1)/r! |
Ω |
0.28220770570758 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
742b1 |
Quadratic twists by: 53 |