Atkin-Lehner |
2- 5- 13+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
105040v |
Isogeny class |
Conductor |
105040 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
194560 |
Modular degree for the optimal curve |
Δ |
1697446400000 = 212 · 55 · 13 · 1012 |
Discriminant |
Eigenvalues |
2- 2 5- 0 2 13+ -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-14080,-635328] |
[a1,a2,a3,a4,a6] |
Generators |
[1242:7575:8] |
Generators of the group modulo torsion |
j |
75370704203521/414415625 |
j-invariant |
L |
11.206744324651 |
L(r)(E,1)/r! |
Ω |
0.43841973625447 |
Real period |
R |
2.5561678369685 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000031759 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6565d1 |
Quadratic twists by: -4 |