Atkin-Lehner |
3+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
124215be |
Isogeny class |
Conductor |
124215 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
59626271464305 = 3 · 5 · 77 · 136 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7- 0 13+ -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-20875,-1108528] |
[a1,a2,a3,a4,a6] |
Generators |
[-90:271:1] |
Generators of the group modulo torsion |
j |
1771561/105 |
j-invariant |
L |
3.5826035458808 |
L(r)(E,1)/r! |
Ω |
0.39865636700925 |
Real period |
R |
4.4933478770774 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000181745 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17745n1 735a1 |
Quadratic twists by: -7 13 |