Atkin-Lehner |
2+ 3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
104040bf |
Isogeny class |
Conductor |
104040 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
466560 |
Modular degree for the optimal curve |
Δ |
-842724000000000 = -1 · 211 · 36 · 59 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5- 3 5 -3 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,23613,-15266] |
[a1,a2,a3,a4,a6] |
Generators |
[98:1800:1] |
Generators of the group modulo torsion |
j |
3374596798/1953125 |
j-invariant |
L |
9.4780180300361 |
L(r)(E,1)/r! |
Ω |
0.29870273405479 |
Real period |
R |
1.7628113070564 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003491 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11560g1 104040w1 |
Quadratic twists by: -3 17 |