Atkin-Lehner |
2- 3- 5- 19- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
41610bl |
Isogeny class |
Conductor |
41610 |
Conductor |
∏ cp |
315 |
Product of Tamagawa factors cp |
deg |
372960 |
Modular degree for the optimal curve |
Δ |
2276995285146240 = 27 · 39 · 5 · 195 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 2 -1 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-131880,18279360] |
[a1,a2,a3,a4,a6] |
Generators |
[162:1002:1] |
Generators of the group modulo torsion |
j |
253665107917672187521/2276995285146240 |
j-invariant |
L |
11.194936338235 |
L(r)(E,1)/r! |
Ω |
0.46333952660485 |
Real period |
R |
0.076702889346112 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999967 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124830y1 |
Quadratic twists by: -3 |