Atkin-Lehner |
2+ 3+ 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
22704c |
Isogeny class |
Conductor |
22704 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-47866934016 = -1 · 28 · 33 · 115 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ -3 3 11+ 0 -5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,468,-9936] |
[a1,a2,a3,a4,a6] |
Generators |
[28:156:1] |
Generators of the group modulo torsion |
j |
44186845232/186980211 |
j-invariant |
L |
3.5527712831988 |
L(r)(E,1)/r! |
Ω |
0.57231922276602 |
Real period |
R |
3.1038371086229 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11352q1 90816cx1 68112o1 |
Quadratic twists by: -4 8 -3 |