Atkin-Lehner |
2+ 31- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
93248l |
Isogeny class |
Conductor |
93248 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
451584 |
Modular degree for the optimal curve |
Δ |
800994220834816 = 239 · 31 · 47 |
Discriminant |
Eigenvalues |
2+ -1 3 -1 -6 4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-41729,2999041] |
[a1,a2,a3,a4,a6] |
j |
30655480635073/3055550464 |
j-invariant |
L |
1.9548813407261 |
L(r)(E,1)/r! |
Ω |
0.48872029772876 |
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 |
93248ba1 2914f1 |
Quadratic twists by: -4 8 |