Atkin-Lehner |
2- 3- 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
41664dg |
Isogeny class |
Conductor |
41664 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2015234088763392 = 230 · 32 · 7 · 313 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 6 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-273953,55056735] |
[a1,a2,a3,a4,a6] |
Generators |
[5662071:175177728:4913] |
Generators of the group modulo torsion |
j |
8673882953919625/7687507968 |
j-invariant |
L |
7.8575945909122 |
L(r)(E,1)/r! |
Ω |
0.46285867160947 |
Real period |
R |
8.4881142699439 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41664z3 10416p3 124992ek3 |
Quadratic twists by: -4 8 -3 |