Atkin-Lehner |
2+ 5+ 13+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
99710a |
Isogeny class |
Conductor |
99710 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
967680 |
Modular degree for the optimal curve |
Δ |
-125133092601400000 = -1 · 26 · 55 · 139 · 59 |
Discriminant |
Eigenvalues |
2+ 0 5+ -1 -1 13+ -8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-44225,-17380739] |
[a1,a2,a3,a4,a6] |
Generators |
[517:9628:1] |
Generators of the group modulo torsion |
j |
-1981858514481/25924600000 |
j-invariant |
L |
2.3286420853553 |
L(r)(E,1)/r! |
Ω |
0.14104350951639 |
Real period |
R |
2.0637621916898 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999431853 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7670j1 |
Quadratic twists by: 13 |