Atkin-Lehner |
2+ 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
43706k |
Isogeny class |
Conductor |
43706 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
50400 |
Modular degree for the optimal curve |
Δ |
2496574132 = 22 · 135 · 412 |
Discriminant |
Eigenvalues |
2+ -1 -4 -4 -6 13- -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-342,-560] |
[a1,a2,a3,a4,a6] |
Generators |
[34:152:1] [-17:35:1] |
Generators of the group modulo torsion |
j |
2643729241/1485172 |
j-invariant |
L |
3.101988646222 |
L(r)(E,1)/r! |
Ω |
1.1937090306782 |
Real period |
R |
0.2598613704429 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43706c1 |
Quadratic twists by: 41 |