Atkin-Lehner |
2+ 3- 19- |
Signs for the Atkin-Lehner involutions |
Class |
10944bg |
Isogeny class |
Conductor |
10944 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
102798015005196288 = 238 · 39 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 -4 -2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-202764,31576048] |
[a1,a2,a3,a4,a6] |
Generators |
[-364:7560:1] |
Generators of the group modulo torsion |
j |
4824238966273/537919488 |
j-invariant |
L |
5.0839133985412 |
L(r)(E,1)/r! |
Ω |
0.32502992939653 |
Real period |
R |
3.9103425090578 |
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 |
10944bz1 342f1 3648r1 |
Quadratic twists by: -4 8 -3 |