Atkin-Lehner |
2+ 3- 5+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
22770i |
Isogeny class |
Conductor |
22770 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-3202641265950720 = -1 · 224 · 38 · 5 · 11 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11- -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,36810,147316] |
[a1,a2,a3,a4,a6] |
Generators |
[1085:35741:1] |
Generators of the group modulo torsion |
j |
7566359979929759/4393197895680 |
j-invariant |
L |
3.2234314591632 |
L(r)(E,1)/r! |
Ω |
0.26968048484908 |
Real period |
R |
5.9763899137289 |
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 |
7590t1 113850ex1 |
Quadratic twists by: -3 5 |