Atkin-Lehner |
2- 3+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
31008o |
Isogeny class |
Conductor |
31008 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-5.4461841363256E+21 |
Discriminant |
Eigenvalues |
2- 3+ 0 -2 0 -6 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1621408,-3637921820] |
[a1,a2,a3,a4,a6] |
Generators |
[122340:999685:64] |
Generators of the group modulo torsion |
j |
-920727158140251125000/10637078391260975889 |
j-invariant |
L |
3.3091706450924 |
L(r)(E,1)/r! |
Ω |
0.05773577007291 |
Real period |
R |
7.1644723905854 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31008d2 62016t2 93024s2 |
Quadratic twists by: -4 8 -3 |