Atkin-Lehner |
2- 3+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
2850r |
Isogeny class |
Conductor |
2850 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
-1731375000000 = -1 · 26 · 36 · 59 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 0 -2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-563,63281] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:262:1] |
Generators of the group modulo torsion |
j |
-1263214441/110808000 |
j-invariant |
L |
3.9709450986998 |
L(r)(E,1)/r! |
Ω |
0.69046339880477 |
Real period |
R |
0.4792608733948 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22800cu1 91200cy1 8550l1 570f1 |
Quadratic twists by: -4 8 -3 5 |