Atkin-Lehner |
2- 5+ 29+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
53650g |
Isogeny class |
Conductor |
53650 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1043712 |
Modular degree for the optimal curve |
Δ |
581297389539062500 = 22 · 59 · 29 · 376 |
Discriminant |
Eigenvalues |
2- 0 5+ -4 2 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-846105,297517397] |
[a1,a2,a3,a4,a6] |
Generators |
[4859:330570:1] |
Generators of the group modulo torsion |
j |
4287222165289972761/37203032930500 |
j-invariant |
L |
8.1076697890881 |
L(r)(E,1)/r! |
Ω |
0.29197949630116 |
Real period |
R |
2.3139951868187 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10730a1 |
Quadratic twists by: 5 |