Atkin-Lehner |
2- 3+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
13650bx |
Isogeny class |
Conductor |
13650 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
50400 |
Modular degree for the optimal curve |
Δ |
-13820625000000 = -1 · 26 · 35 · 510 · 7 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 2 13- 5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-8138,331031] |
[a1,a2,a3,a4,a6] |
j |
-6103515625/1415232 |
j-invariant |
L |
4.0402985789439 |
L(r)(E,1)/r! |
Ω |
0.67338309649066 |
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 |
109200fl1 40950bp1 13650bk1 95550jh1 |
Quadratic twists by: -4 -3 5 -7 |