Atkin-Lehner |
2- 7- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
36176bb |
Isogeny class |
Conductor |
36176 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-71670733568 = -1 · 28 · 74 · 17 · 193 |
Discriminant |
Eigenvalues |
2- -3 -2 7- 2 -6 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-496,13564] |
[a1,a2,a3,a4,a6] |
Generators |
[122:1330:1] [10:-98:1] |
Generators of the group modulo torsion |
j |
-52714340352/279963803 |
j-invariant |
L |
5.1099421105479 |
L(r)(E,1)/r! |
Ω |
0.9471850942277 |
Real period |
R |
0.2247863230785 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9044d1 |
Quadratic twists by: -4 |