Atkin-Lehner |
3- 5+ 7+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
101745m |
Isogeny class |
Conductor |
101745 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-9.136226689955E+25 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ 4 6 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,111990690,58291368475] |
[a1,a2,a3,a4,a6] |
Generators |
[60635301510934543960082874026313655770:-13672442849193548760228744937946788750297:1256044289729323516865644024907000] |
Generators of the group modulo torsion |
j |
213079634397492818460855839/125325468998011321220475 |
j-invariant |
L |
8.4657561972017 |
L(r)(E,1)/r! |
Ω |
0.036610197558053 |
Real period |
R |
57.810096446249 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999884389 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33915f5 |
Quadratic twists by: -3 |