Atkin-Lehner |
3- 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
61605h |
Isogeny class |
Conductor |
61605 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1918080 |
Modular degree for the optimal curve |
Δ |
-1.1511166159739E+20 |
Discriminant |
Eigenvalues |
0 3- 5+ -4 2 5 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,1215672,17335989] |
[a1,a2,a3,a4,a6] |
Generators |
[233:17698:1] |
Generators of the group modulo torsion |
j |
2097152/1215 |
j-invariant |
L |
4.164428476506 |
L(r)(E,1)/r! |
Ω |
0.11216031566896 |
Real period |
R |
4.6411563347034 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999883 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20535g1 61605n1 |
Quadratic twists by: -3 37 |