Atkin-Lehner |
2- 7- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
113344ea |
Isogeny class |
Conductor |
113344 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-14856224768 = -1 · 223 · 7 · 11 · 23 |
Discriminant |
Eigenvalues |
2- -3 -2 7- 11+ 0 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3436,-77744] |
[a1,a2,a3,a4,a6] |
Generators |
[156:1784:1] |
Generators of the group modulo torsion |
j |
-17113674033/56672 |
j-invariant |
L |
2.8386511114129 |
L(r)(E,1)/r! |
Ω |
0.31172394261479 |
Real period |
R |
4.5531490094993 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999658477 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113344w1 28336bq1 |
Quadratic twists by: -4 8 |