Atkin-Lehner |
3- 5- 37- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
29415b |
Isogeny class |
Conductor |
29415 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
13536 |
Modular degree for the optimal curve |
Δ |
-827296875 = -1 · 33 · 56 · 37 · 53 |
Discriminant |
Eigenvalues |
0 3- 5- -1 6 2 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,145,1259] |
[a1,a2,a3,a4,a6] |
j |
334833680384/827296875 |
j-invariant |
L |
2.2157673705126 |
L(r)(E,1)/r! |
Ω |
1.1078836852562 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
88245d1 |
Quadratic twists by: -3 |