Atkin-Lehner |
3- 5+ 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
98325bi |
Isogeny class |
Conductor |
98325 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-4.5760167722551E+20 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 4 2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-696155,-1053033028] |
[a1,a2,a3,a4,a6] |
Generators |
[17003514:456290305:10648] |
Generators of the group modulo torsion |
j |
-3275619238041697/40173535449153 |
j-invariant |
L |
4.624784779288 |
L(r)(E,1)/r! |
Ω |
0.071077898472899 |
Real period |
R |
8.1333031747209 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001884 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32775t3 3933a4 |
Quadratic twists by: -3 5 |