Atkin-Lehner |
2- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
20672be |
Isogeny class |
Conductor |
20672 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-15027857358848 = -1 · 215 · 176 · 19 |
Discriminant |
Eigenvalues |
2- 0 0 -4 -2 -2 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5740,250608] |
[a1,a2,a3,a4,a6] |
Generators |
[-28:624:1] [-24:612:1] |
Generators of the group modulo torsion |
j |
-638277381000/458613811 |
j-invariant |
L |
6.6696554980798 |
L(r)(E,1)/r! |
Ω |
0.64508683835883 |
Real period |
R |
3.4463863888721 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20672bc2 10336j2 |
Quadratic twists by: -4 8 |