Atkin-Lehner |
5+ 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
121835c |
Isogeny class |
Conductor |
121835 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
139200 |
Modular degree for the optimal curve |
Δ |
-1476318677435 = -1 · 5 · 7 · 596 |
Discriminant |
Eigenvalues |
0 1 5+ 7- 3 -5 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-4641,-136565] |
[a1,a2,a3,a4,a6] |
Generators |
[157:-1741:1] |
Generators of the group modulo torsion |
j |
-262144/35 |
j-invariant |
L |
6.2434551442493 |
L(r)(E,1)/r! |
Ω |
0.28707231297018 |
Real period |
R |
1.2082621936233 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
8.9999999098882 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35a3 |
Quadratic twists by: -59 |