Atkin-Lehner |
2- 3+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
13650by |
Isogeny class |
Conductor |
13650 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
5600 |
Modular degree for the optimal curve |
Δ |
-136500000 = -1 · 25 · 3 · 56 · 7 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 3 13- -5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-188,-1219] |
[a1,a2,a3,a4,a6] |
j |
-47045881/8736 |
j-invariant |
L |
3.191058813099 |
L(r)(E,1)/r! |
Ω |
0.63821176261981 |
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 |
109200fn1 40950bq1 546b1 95550jj1 |
Quadratic twists by: -4 -3 5 -7 |