Atkin-Lehner |
2- 3+ 5+ 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
19470u |
Isogeny class |
Conductor |
19470 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
40709433600 = 28 · 34 · 52 · 113 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 11- -2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1876,28949] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:225:1] |
Generators of the group modulo torsion |
j |
730191348387649/40709433600 |
j-invariant |
L |
5.5830095702448 |
L(r)(E,1)/r! |
Ω |
1.1297740934574 |
Real period |
R |
0.20590434858379 |
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 |
58410p1 97350y1 |
Quadratic twists by: -3 5 |