Atkin-Lehner |
2+ 3- 5- 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
39330ba |
Isogeny class |
Conductor |
39330 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1.1861434180215E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 0 -2 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-309237635889,-66189046222384227] |
[a1,a2,a3,a4,a6] |
Generators |
[658138341018118003690822270293763381790925795595121854427478727197:-685565519805142847254308970675207396786770484670143349034287328549801:487679219948297888693934429162568069242813626123611636801331] |
Generators of the group modulo torsion |
j |
4486144075680775880097697589357030929/16270828779444633600 |
j-invariant |
L |
5.1333121047635 |
L(r)(E,1)/r! |
Ω |
0.0064021591880995 |
Real period |
R |
100.22618842221 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13110bh2 |
Quadratic twists by: -3 |