Atkin-Lehner |
2- 7- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
36652l |
Isogeny class |
Conductor |
36652 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-95745579776 = -1 · 28 · 76 · 11 · 172 |
Discriminant |
Eigenvalues |
2- -3 -3 7- 11+ 2 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-24304,1458436] |
[a1,a2,a3,a4,a6] |
Generators |
[84:-98:1] [-112:1666:1] |
Generators of the group modulo torsion |
j |
-52714340352/3179 |
j-invariant |
L |
4.7298564742261 |
L(r)(E,1)/r! |
Ω |
1.0116516022925 |
Real period |
R |
0.38961506638463 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
748a1 |
Quadratic twists by: -7 |