Atkin-Lehner |
2+ 3- 5- 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
13530h |
Isogeny class |
Conductor |
13530 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
63840 |
Modular degree for the optimal curve |
Δ |
-25416089629920 = -1 · 25 · 37 · 5 · 116 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5- -5 11+ -4 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,4482,-212912] |
[a1,a2,a3,a4,a6] |
Generators |
[152:1920:1] |
Generators of the group modulo torsion |
j |
9960440635264679/25416089629920 |
j-invariant |
L |
3.5919286350897 |
L(r)(E,1)/r! |
Ω |
0.34585408257126 |
Real period |
R |
0.74183403928729 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
108240bk1 40590bm1 67650bq1 |
Quadratic twists by: -4 -3 5 |