Atkin-Lehner |
3- 7+ 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
36729q |
Isogeny class |
Conductor |
36729 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
23552 |
Modular degree for the optimal curve |
Δ |
-15610082103 = -1 · 38 · 7 · 112 · 532 |
Discriminant |
Eigenvalues |
1 3- 0 7+ 11- 0 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1737,28944] |
[a1,a2,a3,a4,a6] |
j |
-795309684625/21413007 |
j-invariant |
L |
2.4775859170632 |
L(r)(E,1)/r! |
Ω |
1.2387929585282 |
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 |
12243g1 |
Quadratic twists by: -3 |