Atkin-Lehner |
2- 3+ 5+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
22770bc |
Isogeny class |
Conductor |
22770 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
15552 |
Modular degree for the optimal curve |
Δ |
-2115970560 = -1 · 29 · 33 · 5 · 113 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 11- 2 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-533,5357] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:106:1] |
Generators of the group modulo torsion |
j |
-619123751667/78369280 |
j-invariant |
L |
6.4781213682108 |
L(r)(E,1)/r! |
Ω |
1.4231952277352 |
Real period |
R |
0.75863583130473 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
22770e2 113850m1 |
Quadratic twists by: -3 5 |