Atkin-Lehner |
2+ 3- 23+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
111504f |
Isogeny class |
Conductor |
111504 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
-2917101079219968 = -1 · 28 · 32 · 233 · 1014 |
Discriminant |
Eigenvalues |
2+ 3- 0 -2 -4 2 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-36748,-3767860] |
[a1,a2,a3,a4,a6] |
Generators |
[12281743:64780794:50653] |
Generators of the group modulo torsion |
j |
-21438613167298000/11394926090703 |
j-invariant |
L |
6.4951806408103 |
L(r)(E,1)/r! |
Ω |
0.1682187697107 |
Real period |
R |
9.6528773721901 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000027617 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55752a1 |
Quadratic twists by: -4 |