Atkin-Lehner |
2- 5+ 13+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
12220b |
Isogeny class |
Conductor |
12220 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
657720 |
Modular degree for the optimal curve |
Δ |
-2.0581564268809E+20 |
Discriminant |
Eigenvalues |
2- 2 5+ -5 4 13+ 2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-721646,-729212179] |
[a1,a2,a3,a4,a6] |
j |
-2597628003070123012864/12863477668005859375 |
j-invariant |
L |
1.8493700899047 |
L(r)(E,1)/r! |
Ω |
0.07397480359619 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48880j1 109980v1 61100k1 |
Quadratic twists by: -4 -3 5 |