Atkin-Lehner |
3- 37- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
17649c |
Isogeny class |
Conductor |
17649 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3648 |
Modular degree for the optimal curve |
Δ |
1429569 = 36 · 37 · 53 |
Discriminant |
Eigenvalues |
-1 3- -2 0 -4 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-371,-2654] |
[a1,a2,a3,a4,a6] |
Generators |
[38:173:1] |
Generators of the group modulo torsion |
j |
7727161833/1961 |
j-invariant |
L |
2.115776691939 |
L(r)(E,1)/r! |
Ω |
1.088063353541 |
Real period |
R |
3.8890689316086 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1961a1 |
Quadratic twists by: -3 |