Atkin-Lehner |
3+ 7- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
104181i |
Isogeny class |
Conductor |
104181 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
1393920 |
Modular degree for the optimal curve |
Δ |
30033751864120389 = 35 · 73 · 118 · 412 |
Discriminant |
Eigenvalues |
0 3+ -3 7- 11- 0 -5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-506667,-138394213] |
[a1,a2,a3,a4,a6] |
Generators |
[-403:423:1] |
Generators of the group modulo torsion |
j |
67104391856128/140109669 |
j-invariant |
L |
2.3715875250841 |
L(r)(E,1)/r! |
Ω |
0.1789671438882 |
Real period |
R |
0.73619581263606 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000043622 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104181c1 |
Quadratic twists by: -11 |