Atkin-Lehner |
2+ 3+ 5- 23- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
21390b |
Isogeny class |
Conductor |
21390 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
-1273132800 = -1 · 28 · 32 · 52 · 23 · 312 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 0 2 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-57,1701] |
[a1,a2,a3,a4,a6] |
Generators |
[2:39:1] |
Generators of the group modulo torsion |
j |
-21047437081/1273132800 |
j-invariant |
L |
3.7806649397499 |
L(r)(E,1)/r! |
Ω |
1.2654638918488 |
Real period |
R |
0.74689308879183 |
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 |
64170w1 106950cd1 |
Quadratic twists by: -3 5 |