Atkin-Lehner |
2- 3+ 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
19320m |
Isogeny class |
Conductor |
19320 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
83462400 = 28 · 34 · 52 · 7 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 -6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-108676,-13753340] |
[a1,a2,a3,a4,a6] |
Generators |
[388:1530:1] |
Generators of the group modulo torsion |
j |
554483565352358224/326025 |
j-invariant |
L |
3.7756903335416 |
L(r)(E,1)/r! |
Ω |
0.26294554093947 |
Real period |
R |
3.5898025880678 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38640q1 57960y1 96600bc1 |
Quadratic twists by: -4 -3 5 |