Atkin-Lehner |
2+ 3- 5- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
22770w |
Isogeny class |
Conductor |
22770 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
-249771962880 = -1 · 29 · 36 · 5 · 11 · 233 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 11- 2 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1584,34560] |
[a1,a2,a3,a4,a6] |
j |
-603136942849/342622720 |
j-invariant |
L |
1.8294268392887 |
L(r)(E,1)/r! |
Ω |
0.91471341964437 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2530f1 113850fa1 |
Quadratic twists by: -3 5 |