Atkin-Lehner |
2- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
118300v |
Isogeny class |
Conductor |
118300 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
279936 |
Modular degree for the optimal curve |
Δ |
-28983500000000 = -1 · 28 · 59 · 73 · 132 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- -3 13+ -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-35533,2602937] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:1750:1] |
Generators of the group modulo torsion |
j |
-7339810816/42875 |
j-invariant |
L |
3.637996842633 |
L(r)(E,1)/r! |
Ω |
0.66691637948976 |
Real period |
R |
0.15152644437814 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016752 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23660c1 118300g1 |
Quadratic twists by: 5 13 |