Atkin-Lehner |
2- 3- 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
13650cp |
Isogeny class |
Conductor |
13650 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
7497262500000 = 25 · 3 · 58 · 7 · 134 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 4 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2240088,-1290650208] |
[a1,a2,a3,a4,a6] |
j |
79560762543506753209/479824800 |
j-invariant |
L |
4.9362059963947 |
L(r)(E,1)/r! |
Ω |
0.12340514990987 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
109200dz4 40950bf4 2730d3 95550gs4 |
Quadratic twists by: -4 -3 5 -7 |