Atkin-Lehner |
3- 5+ 31+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
19065i |
Isogeny class |
Conductor |
19065 |
Conductor |
∏ cp |
50 |
Product of Tamagawa factors cp |
deg |
547200 |
Modular degree for the optimal curve |
Δ |
3.2762020172258E+20 |
Discriminant |
Eigenvalues |
0 3- 5+ 0 -4 -1 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1927751,549763655] |
[a1,a2,a3,a4,a6] |
Generators |
[-1001:38437:1] |
Generators of the group modulo torsion |
j |
792276453130741641478144/327620201722583203125 |
j-invariant |
L |
4.0574474511509 |
L(r)(E,1)/r! |
Ω |
0.15518314672744 |
Real period |
R |
0.5229237242208 |
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 |
57195r1 95325b1 |
Quadratic twists by: -3 5 |