Atkin-Lehner |
2- 7- 17- 31- |
Signs for the Atkin-Lehner involutions |
Class |
51646bj |
Isogeny class |
Conductor |
51646 |
Conductor |
∏ cp |
368 |
Product of Tamagawa factors cp |
deg |
11870208 |
Modular degree for the optimal curve |
Δ |
-3.6343241271583E+24 |
Discriminant |
Eigenvalues |
2- 2 -2 7- -2 0 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-136565794,621025531951] |
[a1,a2,a3,a4,a6] |
Generators |
[4921:258659:1] |
Generators of the group modulo torsion |
j |
-2394204674724255511761553/30891245375296897024 |
j-invariant |
L |
11.270018638676 |
L(r)(E,1)/r! |
Ω |
0.079137536778977 |
Real period |
R |
1.5479405548918 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999908 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7378r1 |
Quadratic twists by: -7 |