Atkin-Lehner |
2+ 7- 11+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
124432c |
Isogeny class |
Conductor |
124432 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
485120 |
Modular degree for the optimal curve |
Δ |
-210327907328 = -1 · 210 · 75 · 112 · 101 |
Discriminant |
Eigenvalues |
2+ -3 -4 7- 11+ -4 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3547,84250] |
[a1,a2,a3,a4,a6] |
Generators |
[-69:22:1] [-58:308:1] [-51:364:1] |
Generators of the group modulo torsion |
j |
-4819559218884/205398347 |
j-invariant |
L |
8.8681097750568 |
L(r)(E,1)/r! |
Ω |
0.99138247738433 |
Real period |
R |
0.22362987990961 |
Regulator |
r |
3 |
Rank of the group of rational points |
S |
1.0000000000653 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62216b1 |
Quadratic twists by: -4 |