Atkin-Lehner |
2- 3+ 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
13650cb |
Isogeny class |
Conductor |
13650 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
120960 |
Modular degree for the optimal curve |
Δ |
-20547072000000000 = -1 · 218 · 32 · 59 · 73 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 2 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-52388,-8320219] |
[a1,a2,a3,a4,a6] |
j |
-8141222941613/10520100864 |
j-invariant |
L |
2.7092486113912 |
L(r)(E,1)/r! |
Ω |
0.15051381174395 |
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 |
109200hj1 40950ce1 13650bo1 95550ko1 |
Quadratic twists by: -4 -3 5 -7 |