Atkin-Lehner |
3- 5- 37- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
111555o |
Isogeny class |
Conductor |
111555 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
163840 |
Modular degree for the optimal curve |
Δ |
-6353405859375 = -1 · 38 · 58 · 37 · 67 |
Discriminant |
Eigenvalues |
-1 3- 5- 0 4 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,2308,112934] |
[a1,a2,a3,a4,a6] |
j |
1865864036231/8715234375 |
j-invariant |
L |
2.1599424988247 |
L(r)(E,1)/r! |
Ω |
0.53998579499918 |
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 |
37185d1 |
Quadratic twists by: -3 |