Atkin-Lehner |
2- 3- 5- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
22770bv |
Isogeny class |
Conductor |
22770 |
Conductor |
∏ cp |
1040 |
Product of Tamagawa factors cp |
deg |
532480 |
Modular degree for the optimal curve |
Δ |
-2.59232843232E+19 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 11- -5 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,712768,79578339] |
[a1,a2,a3,a4,a6] |
Generators |
[437:21561:1] |
Generators of the group modulo torsion |
j |
54934014267405745991/35560060800000000 |
j-invariant |
L |
8.1205992374515 |
L(r)(E,1)/r! |
Ω |
0.13219668128252 |
Real period |
R |
0.059065540993894 |
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 |
7590a1 113850ca1 |
Quadratic twists by: -3 5 |