Atkin-Lehner |
2+ 3- 5+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
116550cd |
Isogeny class |
Conductor |
116550 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
11151360 |
Modular degree for the optimal curve |
Δ |
-4.1274488474281E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 -3 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-8691417,13887789741] |
[a1,a2,a3,a4,a6] |
j |
-6374526742073108809/3623549056727040 |
j-invariant |
L |
2.1254983139559 |
L(r)(E,1)/r! |
Ω |
0.10627491625369 |
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 |
38850cx1 23310bq1 |
Quadratic twists by: -3 5 |