Atkin-Lehner |
2- 3- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
31008u |
Isogeny class |
Conductor |
31008 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
5918969769984 = 212 · 36 · 172 · 193 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 4 2 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-35969,-2635089] |
[a1,a2,a3,a4,a6] |
Generators |
[-110:51:1] |
Generators of the group modulo torsion |
j |
1256495477557312/1445060979 |
j-invariant |
L |
5.9216933715461 |
L(r)(E,1)/r! |
Ω |
0.34669409732285 |
Real period |
R |
2.8467427131839 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31008p2 62016cd1 93024l2 |
Quadratic twists by: -4 8 -3 |