Atkin-Lehner |
5+ 11+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
19525b |
Isogeny class |
Conductor |
19525 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
-4332109375 = -1 · 57 · 11 · 712 |
Discriminant |
Eigenvalues |
-1 -2 5+ 0 11+ -2 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-563,5992] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:104:1] [-3:89:1] |
Generators of the group modulo torsion |
j |
-1263214441/277255 |
j-invariant |
L |
3.5574970102391 |
L(r)(E,1)/r! |
Ω |
1.3211067370297 |
Real period |
R |
1.3464078679363 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999953 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3905b1 |
Quadratic twists by: 5 |