Atkin-Lehner |
2+ 3+ 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
9918b |
Isogeny class |
Conductor |
9918 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
1767149568 = 212 · 33 · 19 · 292 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -4 2 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1857,-30275] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:20:1] |
Generators of the group modulo torsion |
j |
26237787100875/65449984 |
j-invariant |
L |
2.8033195856938 |
L(r)(E,1)/r! |
Ω |
0.72736218765538 |
Real period |
R |
1.9270451731414 |
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 |
79344r1 9918j1 |
Quadratic twists by: -4 -3 |