Atkin-Lehner |
2- 3+ 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
61200dn |
Isogeny class |
Conductor |
61200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2016000 |
Modular degree for the optimal curve |
Δ |
-6.1605937152E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 2 0 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4891875,-4332318750] |
[a1,a2,a3,a4,a6] |
Generators |
[178630592839921836315462:592710594269856526972704:69501406796574688333] |
Generators of the group modulo torsion |
j |
-11987427957075/570425344 |
j-invariant |
L |
7.7276603767974 |
L(r)(E,1)/r! |
Ω |
0.050617011871439 |
Real period |
R |
38.167308238309 |
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 |
7650d1 61200db1 61200dz1 |
Quadratic twists by: -4 -3 5 |