Atkin-Lehner |
3- 5- 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
33825y |
Isogeny class |
Conductor |
33825 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
21384000 |
Modular degree for the optimal curve |
Δ |
-766061729296875 = -1 · 33 · 58 · 116 · 41 |
Discriminant |
Eigenvalues |
0 3- 5- 2 11+ 2 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-46152849083,3816314316984119] |
[a1,a2,a3,a4,a6] |
Generators |
[283974029065827690858220641:-46602263667690450159342793201:1705934290777510824927] |
Generators of the group modulo torsion |
j |
-27832949070669005254114225192960/1961118027 |
j-invariant |
L |
6.3149869632922 |
L(r)(E,1)/r! |
Ω |
0.083618000192006 |
Real period |
R |
37.760930354658 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
101475ch1 33825a1 |
Quadratic twists by: -3 5 |