Atkin-Lehner |
2- 3- 5- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
38760bc |
Isogeny class |
Conductor |
38760 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
202752 |
Modular degree for the optimal curve |
Δ |
-3795539365002240 = -1 · 210 · 39 · 5 · 172 · 194 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 -4 4 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,16440,-2845440] |
[a1,a2,a3,a4,a6] |
Generators |
[123:1026:1] |
Generators of the group modulo torsion |
j |
479846993315036/3706581411135 |
j-invariant |
L |
8.4272727904382 |
L(r)(E,1)/r! |
Ω |
0.21951320400261 |
Real period |
R |
1.0664092481776 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
77520l1 116280q1 |
Quadratic twists by: -4 -3 |