Atkin-Lehner |
2+ 3+ 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
11352c |
Isogeny class |
Conductor |
11352 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
10368 |
Modular degree for the optimal curve |
Δ |
667565712 = 24 · 36 · 113 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ -4 -1 11- 0 -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2860,59821] |
[a1,a2,a3,a4,a6] |
Generators |
[-47:297:1] [30:11:1] |
Generators of the group modulo torsion |
j |
161753494256896/41722857 |
j-invariant |
L |
4.4821577672836 |
L(r)(E,1)/r! |
Ω |
1.576222956988 |
Real period |
R |
0.23696720417485 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22704m1 90816bg1 34056t1 124872bd1 |
Quadratic twists by: -4 8 -3 -11 |