Atkin-Lehner |
2- 5+ 19+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
23560c |
Isogeny class |
Conductor |
23560 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
-1790560000 = -1 · 28 · 54 · 192 · 31 |
Discriminant |
Eigenvalues |
2- 0 5+ -4 2 0 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-623,6322] |
[a1,a2,a3,a4,a6] |
Generators |
[9:38:1] |
Generators of the group modulo torsion |
j |
-104459486544/6994375 |
j-invariant |
L |
3.3671052061454 |
L(r)(E,1)/r! |
Ω |
1.4634122041827 |
Real period |
R |
0.57521476117966 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47120f1 117800d1 |
Quadratic twists by: -4 5 |