Atkin-Lehner |
2- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
22736u |
Isogeny class |
Conductor |
22736 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-142343703309058048 = -1 · 222 · 79 · 292 |
Discriminant |
Eigenvalues |
2- 0 0 7- 4 0 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-236915,47953458] |
[a1,a2,a3,a4,a6] |
Generators |
[1481:54272:1] |
Generators of the group modulo torsion |
j |
-3051779837625/295386112 |
j-invariant |
L |
5.3844319697638 |
L(r)(E,1)/r! |
Ω |
0.31892062335184 |
Real period |
R |
4.2208245371323 |
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 |
2842a1 90944dk1 3248l1 |
Quadratic twists by: -4 8 -7 |