Atkin-Lehner |
2+ 3- 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
41574i |
Isogeny class |
Conductor |
41574 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
376320 |
Modular degree for the optimal curve |
Δ |
5761506584411136 = 210 · 37 · 137 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 3 0 -1 13+ -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-135542,18845192] |
[a1,a2,a3,a4,a6] |
Generators |
[885:-24779:1] |
Generators of the group modulo torsion |
j |
57053285789473/1193647104 |
j-invariant |
L |
6.6702567654044 |
L(r)(E,1)/r! |
Ω |
0.42660312685256 |
Real period |
R |
0.27920969270057 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124722br1 3198f1 |
Quadratic twists by: -3 13 |