Atkin-Lehner |
2- 3- 5- 23+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
21390q |
Isogeny class |
Conductor |
21390 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
deg |
81920 |
Modular degree for the optimal curve |
Δ |
-46932767539200 = -1 · 220 · 34 · 52 · 23 · 312 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 0 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,8440,-139200] |
[a1,a2,a3,a4,a6] |
j |
66488699132300159/46932767539200 |
j-invariant |
L |
7.1857309968965 |
L(r)(E,1)/r! |
Ω |
0.35928654984482 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
64170j1 106950j1 |
Quadratic twists by: -3 5 |