Atkin-Lehner |
2- 3+ 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
41574l |
Isogeny class |
Conductor |
41574 |
Conductor |
∏ cp |
66 |
Product of Tamagawa factors cp |
deg |
46464 |
Modular degree for the optimal curve |
Δ |
-194255013888 = -1 · 211 · 34 · 134 · 41 |
Discriminant |
Eigenvalues |
2- 3+ -2 -1 -2 13+ -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,81,21237] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:78:1] [31:218:1] |
Generators of the group modulo torsion |
j |
2056223/6801408 |
j-invariant |
L |
10.020728813034 |
L(r)(E,1)/r! |
Ω |
0.79089935109452 |
Real period |
R |
0.19197034898284 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124722t1 41574e1 |
Quadratic twists by: -3 13 |