Atkin-Lehner |
2+ 3- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
98568d |
Isogeny class |
Conductor |
98568 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-82778194944 = -1 · 210 · 310 · 372 |
Discriminant |
Eigenvalues |
2+ 3- -1 -4 0 2 7 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1443,-25234] |
[a1,a2,a3,a4,a6] |
j |
-325156/81 |
j-invariant |
L |
1.52916703101 |
L(r)(E,1)/r! |
Ω |
0.38229180255543 |
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 |
32856i1 98568r1 |
Quadratic twists by: -3 37 |