Atkin-Lehner |
3- 5- 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
33825y |
Isogeny class |
Conductor |
33825 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-4.4905671230062E+29 |
Discriminant |
Eigenvalues |
0 3- 5- 2 11+ 2 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-46152391583,3816393760447244] |
[a1,a2,a3,a4,a6] |
Generators |
[4039989814829009429702109237028636089507087212047269796289544885698056253756106:-663034854023698863887425861940629122371691740060406619401109877971900548698313985:24269988591806263058824001488128066700807267449391978855039037181164824008] |
Generators of the group modulo torsion |
j |
-27832121378669776196962893660160/1149585183489594257706003 |
j-invariant |
L |
6.3149869632922 |
L(r)(E,1)/r! |
Ω |
0.027872666730669 |
Real period |
R |
113.28279106397 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101475ch2 33825a2 |
Quadratic twists by: -3 5 |