Atkin-Lehner |
2+ 3+ 7+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
120666c |
Isogeny class |
Conductor |
120666 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
599040 |
Modular degree for the optimal curve |
Δ |
-251610509431008 = -1 · 25 · 34 · 7 · 138 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ 4 13+ 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-10481,-872139] |
[a1,a2,a3,a4,a6] |
Generators |
[3574:71473:8] |
Generators of the group modulo torsion |
j |
-156116857/308448 |
j-invariant |
L |
2.898665045399 |
L(r)(E,1)/r! |
Ω |
0.22177672370546 |
Real period |
R |
6.5350976442705 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998486052 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120666bo1 |
Quadratic twists by: 13 |