Atkin-Lehner |
3- 7- 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
36729x |
Isogeny class |
Conductor |
36729 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
67584 |
Modular degree for the optimal curve |
Δ |
240978969 = 310 · 7 · 11 · 53 |
Discriminant |
Eigenvalues |
1 3- -2 7- 11- 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-61983,5955120] |
[a1,a2,a3,a4,a6] |
j |
36125835691810033/330561 |
j-invariant |
L |
1.2239947882565 |
L(r)(E,1)/r! |
Ω |
1.2239947882887 |
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 |
12243h1 |
Quadratic twists by: -3 |