Atkin-Lehner |
2- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
118300x |
Isogeny class |
Conductor |
118300 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
362880 |
Modular degree for the optimal curve |
Δ |
-111918254921200 = -1 · 24 · 52 · 73 · 138 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- 3 13+ 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,10422,298817] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:507:1] |
Generators of the group modulo torsion |
j |
64835840/57967 |
j-invariant |
L |
12.167207135951 |
L(r)(E,1)/r! |
Ω |
0.38643636305556 |
Real period |
R |
1.749203790756 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012641 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118300bg1 9100c1 |
Quadratic twists by: 5 13 |