Atkin-Lehner |
2- 3- 5+ 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
61050ce |
Isogeny class |
Conductor |
61050 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
923381250000000 = 27 · 3 · 511 · 113 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 11+ 5 -5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-82963,-9087583] |
[a1,a2,a3,a4,a6] |
j |
4041637490654569/59096400000 |
j-invariant |
L |
7.8835356410929 |
L(r)(E,1)/r! |
Ω |
0.28155484450044 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12210c1 |
Quadratic twists by: 5 |