Atkin-Lehner |
2- 3+ 7+ 23- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
41538h |
Isogeny class |
Conductor |
41538 |
Conductor |
∏ cp |
124 |
Product of Tamagawa factors cp |
deg |
404736 |
Modular degree for the optimal curve |
Δ |
-75866450492915712 = -1 · 231 · 36 · 72 · 23 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 2 -4 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-160138,27933335] |
[a1,a2,a3,a4,a6] |
Generators |
[-55:-6021:1] |
Generators of the group modulo torsion |
j |
-454158118730775390625/75866450492915712 |
j-invariant |
L |
7.0104697260982 |
L(r)(E,1)/r! |
Ω |
0.33160497977981 |
Real period |
R |
0.170492150678 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124614a1 |
Quadratic twists by: -3 |