Atkin-Lehner |
2+ 3+ 5+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
22440d |
Isogeny class |
Conductor |
22440 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-3633750739491840 = -1 · 210 · 35 · 5 · 112 · 176 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 11+ -4 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,35904,-1258884] |
[a1,a2,a3,a4,a6] |
j |
4998505394665724/3548584706535 |
j-invariant |
L |
1.4991298817885 |
L(r)(E,1)/r! |
Ω |
0.24985498029808 |
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 |
44880p1 67320bl1 112200ca1 |
Quadratic twists by: -4 -3 5 |