Atkin-Lehner |
3- 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
53235bc |
Isogeny class |
Conductor |
53235 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
369468094905 = 37 · 5 · 7 · 136 |
Discriminant |
Eigenvalues |
1 3- 5- 7+ 0 13+ -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3834,-85617] |
[a1,a2,a3,a4,a6] |
Generators |
[-942:2335:27] |
Generators of the group modulo torsion |
j |
1771561/105 |
j-invariant |
L |
7.0981772172744 |
L(r)(E,1)/r! |
Ω |
0.60895765936533 |
Real period |
R |
5.8281369058154 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000032 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17745n1 315b1 |
Quadratic twists by: -3 13 |