Atkin-Lehner |
2- 3- 7- 19- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
112518bk |
Isogeny class |
Conductor |
112518 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
2.1741860111874E+21 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -2 4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3288560,486602579] |
[a1,a2,a3,a4,a6] |
Generators |
[1917:34033:1] |
Generators of the group modulo torsion |
j |
5395272319087393821625/2982422511916904448 |
j-invariant |
L |
12.137395288336 |
L(r)(E,1)/r! |
Ω |
0.12703242362196 |
Real period |
R |
1.9905343364578 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000030743 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37506n2 |
Quadratic twists by: -3 |