Atkin-Lehner |
2- 3- 5+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
44880cp |
Isogeny class |
Conductor |
44880 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
-119120855040 = -1 · 219 · 35 · 5 · 11 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 11- 0 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,424,16404] |
[a1,a2,a3,a4,a6] |
Generators |
[22:192:1] |
Generators of the group modulo torsion |
j |
2053225511/29082240 |
j-invariant |
L |
6.5274435273297 |
L(r)(E,1)/r! |
Ω |
0.77731091455996 |
Real period |
R |
0.41987339975938 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5610b1 |
Quadratic twists by: -4 |