Atkin-Lehner |
2+ 3- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
13650bi |
Isogeny class |
Conductor |
13650 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
1935360 |
Modular degree for the optimal curve |
Δ |
-7.5157704592589E+23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,3165474,41654346448] |
[a1,a2,a3,a4,a6] |
j |
224501959288069776431/48100930939256832000 |
j-invariant |
L |
2.7801980849244 |
L(r)(E,1)/r! |
Ω |
0.06950495212311 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
109200dj1 40950eu1 2730r1 95550u1 |
Quadratic twists by: -4 -3 5 -7 |